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Finding the Third Proportional to 1,231,769 and 1,721,901

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Solution

The third proportional to 1,231,769 and 1,721,901 is: 2,407,060.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231,769 : 1,721,901 = 1,721,901 : x
  2. Step 2: Convert to fraction form
    1,231,769/1,721,901 = 1,721,901/x
  3. Step 3: Cross multiply
    1,231,769x = 1,721,901 × 1,721,901
  4. Step 4: Simplify right side
    1,231,769x = 2,964,943,053,801
  5. Step 5: Solve for x
    x = 2,964,943,053,801/1,231,769
  6. Step 6: Final answer
    x = 2,407,060.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.