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Finding the Third Proportional to 461,873,683 and 1,005,055,742

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Solution

The third proportional to 461,873,683 and 1,005,055,742 is: 2,187,041,785.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,873,683 : 1,005,055,742 = 1,005,055,742 : x
  2. Step 2: Convert to fraction form
    461,873,683/1,005,055,742 = 1,005,055,742/x
  3. Step 3: Cross multiply
    461,873,683x = 1,005,055,742 × 1,005,055,742
  4. Step 4: Simplify right side
    461,873,683x = 1,010,137,044,527,170,560
  5. Step 5: Solve for x
    x = 1,010,137,044,527,170,560/461,873,683
  6. Step 6: Final answer
    x = 2,187,041,785.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.