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Finding the Third Proportional to 656,217,806 and 959,413,359

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Solution

The third proportional to 656,217,806 and 959,413,359 is: 1,402,695,850.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,217,806 : 959,413,359 = 959,413,359 : x
  2. Step 2: Convert to fraction form
    656,217,806/959,413,359 = 959,413,359/x
  3. Step 3: Cross multiply
    656,217,806x = 959,413,359 × 959,413,359
  4. Step 4: Simplify right side
    656,217,806x = 920,473,993,427,662,848
  5. Step 5: Solve for x
    x = 920,473,993,427,662,848/656,217,806
  6. Step 6: Final answer
    x = 1,402,695,850.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.