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Finding the Third Proportional to 461,897,981 and 956,536,798

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Solution

The third proportional to 461,897,981 and 956,536,798 is: 1,980,876,045.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,897,981 : 956,536,798 = 956,536,798 : x
  2. Step 2: Convert to fraction form
    461,897,981/956,536,798 = 956,536,798/x
  3. Step 3: Cross multiply
    461,897,981x = 956,536,798 × 956,536,798
  4. Step 4: Simplify right side
    461,897,981x = 914,962,645,928,092,800
  5. Step 5: Solve for x
    x = 914,962,645,928,092,800/461,897,981
  6. Step 6: Final answer
    x = 1,980,876,045.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.