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Finding the Third Proportional to 494,609,963,406 and 1,071,350,492,124

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Solution

The third proportional to 494,609,963,406 and 1,071,350,492,124 is: 2,320,599,991,699.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,609,963,406 : 1,071,350,492,124 = 1,071,350,492,124 : x
  2. Step 2: Convert to fraction form
    494,609,963,406/1,071,350,492,124 = 1,071,350,492,124/x
  3. Step 3: Cross multiply
    494,609,963,406x = 1,071,350,492,124 × 1,071,350,492,124
  4. Step 4: Simplify right side
    494,609,963,406x = 1,147,791,876,974,337,018,822,656
  5. Step 5: Solve for x
    x = 1,147,791,876,974,337,018,822,656/494,609,963,406
  6. Step 6: Final answer
    x = 2,320,599,991,699.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.