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Finding the Third Proportional to 1,081,743 and 1,681,596

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Solution

The third proportional to 1,081,743 and 1,681,596 is: 2,614,082.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081,743 : 1,681,596 = 1,681,596 : x
  2. Step 2: Convert to fraction form
    1,081,743/1,681,596 = 1,681,596/x
  3. Step 3: Cross multiply
    1,081,743x = 1,681,596 × 1,681,596
  4. Step 4: Simplify right side
    1,081,743x = 2,827,765,107,216
  5. Step 5: Solve for x
    x = 2,827,765,107,216/1,081,743
  6. Step 6: Final answer
    x = 2,614,082.19

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