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Finding the Third Proportional to 656,217,804 and 959,413,356

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Solution

The third proportional to 656,217,804 and 959,413,356 is: 1,402,695,845.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,217,804 : 959,413,356 = 959,413,356 : x
  2. Step 2: Convert to fraction form
    656,217,804/959,413,356 = 959,413,356/x
  3. Step 3: Cross multiply
    656,217,804x = 959,413,356 × 959,413,356
  4. Step 4: Simplify right side
    656,217,804x = 920,473,987,671,182,720
  5. Step 5: Solve for x
    x = 920,473,987,671,182,720/656,217,804
  6. Step 6: Final answer
    x = 1,402,695,845.89

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