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Finding the Third Proportional to 765,235,961 and 1,147,654,651

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Solution

The third proportional to 765,235,961 and 1,147,654,651 is: 1,721,183,092.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,235,961 : 1,147,654,651 = 1,147,654,651 : x
  2. Step 2: Convert to fraction form
    765,235,961/1,147,654,651 = 1,147,654,651/x
  3. Step 3: Cross multiply
    765,235,961x = 1,147,654,651 × 1,147,654,651
  4. Step 4: Simplify right side
    765,235,961x = 1,317,111,197,961,931,776
  5. Step 5: Solve for x
    x = 1,317,111,197,961,931,776/765,235,961
  6. Step 6: Final answer
    x = 1,721,183,092.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.