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Finding the Third Proportional to 676,822,474 and 913,192,431

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Solution

The third proportional to 676,822,474 and 913,192,431 is: 1,232,111,001.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,822,474 : 913,192,431 = 913,192,431 : x
  2. Step 2: Convert to fraction form
    676,822,474/913,192,431 = 913,192,431/x
  3. Step 3: Cross multiply
    676,822,474x = 913,192,431 × 913,192,431
  4. Step 4: Simplify right side
    676,822,474x = 833,920,416,035,689,728
  5. Step 5: Solve for x
    x = 833,920,416,035,689,728/676,822,474
  6. Step 6: Final answer
    x = 1,232,111,001.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.