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Finding the Third Proportional to 461,754,794 and 715,592,790

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Solution

The third proportional to 461,754,794 and 715,592,790 is: 1,108,971,791.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,754,794 : 715,592,790 = 715,592,790 : x
  2. Step 2: Convert to fraction form
    461,754,794/715,592,790 = 715,592,790/x
  3. Step 3: Cross multiply
    461,754,794x = 715,592,790 × 715,592,790
  4. Step 4: Simplify right side
    461,754,794x = 512,073,041,099,984,128
  5. Step 5: Solve for x
    x = 512,073,041,099,984,128/461,754,794
  6. Step 6: Final answer
    x = 1,108,971,791.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.