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Finding the Third Proportional to 1,081,782 and 1,681,727.06

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Solution

The third proportional to 1,081,782 and 1,681,727.06 is: 2,614,395.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081,782 : 1,681,727.06 = 1,681,727.06 : x
  2. Step 2: Convert to fraction form
    1,081,782/1,681,727.06 = 1,681,727.06/x
  3. Step 3: Cross multiply
    1,081,782x = 1,681,727.06 × 1,681,727.06
  4. Step 4: Simplify right side
    1,081,782x = 2,828,205,912,744.88
  5. Step 5: Solve for x
    x = 2,828,205,912,744.88/1,081,782
  6. Step 6: Final answer
    x = 2,614,395.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.