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Finding the Third Proportional to 461,873,682 and 1,005,055,740

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Solution

The third proportional to 461,873,682 and 1,005,055,740 is: 2,187,041,781.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,873,682 : 1,005,055,740 = 1,005,055,740 : x
  2. Step 2: Convert to fraction form
    461,873,682/1,005,055,740 = 1,005,055,740/x
  3. Step 3: Cross multiply
    461,873,682x = 1,005,055,740 × 1,005,055,740
  4. Step 4: Simplify right side
    461,873,682x = 1,010,137,040,506,947,584
  5. Step 5: Solve for x
    x = 1,010,137,040,506,947,584/461,873,682
  6. Step 6: Final answer
    x = 2,187,041,781.93

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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.