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Finding the Third Proportional to 494,188,349 and 746,347,143

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Solution

The third proportional to 494,188,349 and 746,347,143 is: 1,127,169,547.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,188,349 : 746,347,143 = 746,347,143 : x
  2. Step 2: Convert to fraction form
    494,188,349/746,347,143 = 746,347,143/x
  3. Step 3: Cross multiply
    494,188,349x = 746,347,143 × 746,347,143
  4. Step 4: Simplify right side
    494,188,349x = 557,034,057,864,262,464
  5. Step 5: Solve for x
    x = 557,034,057,864,262,464/494,188,349
  6. Step 6: Final answer
    x = 1,127,169,547.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.