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Finding the Third Proportional to 781,934,670 and 1,147,339,294

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Solution

The third proportional to 781,934,670 and 1,147,339,294 is: 1,683,500,560.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,934,670 : 1,147,339,294 = 1,147,339,294 : x
  2. Step 2: Convert to fraction form
    781,934,670/1,147,339,294 = 1,147,339,294/x
  3. Step 3: Cross multiply
    781,934,670x = 1,147,339,294 × 1,147,339,294
  4. Step 4: Simplify right side
    781,934,670x = 1,316,387,455,556,418,560
  5. Step 5: Solve for x
    x = 1,316,387,455,556,418,560/781,934,670
  6. Step 6: Final answer
    x = 1,683,500,560.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.