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Finding the Third Proportional to 654,241,937.25 and 981,841,862.25

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Solution

The third proportional to 654,241,937.25 and 981,841,862.25 is: 1,473,481,578.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,241,937.25 : 981,841,862.25 = 981,841,862.25 : x
  2. Step 2: Convert to fraction form
    654,241,937.25/981,841,862.25 = 981,841,862.25/x
  3. Step 3: Cross multiply
    654,241,937.25x = 981,841,862.25 × 981,841,862.25
  4. Step 4: Simplify right side
    654,241,937.25x = 964,013,442,466,547,968
  5. Step 5: Solve for x
    x = 964,013,442,466,547,968/654,241,937.25
  6. Step 6: Final answer
    x = 1,473,481,578.57

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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.