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Finding the Third Proportional to 1,081,656 and 1,681,481

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Solution

The third proportional to 1,081,656 and 1,681,481 is: 2,613,934.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081,656 : 1,681,481 = 1,681,481 : x
  2. Step 2: Convert to fraction form
    1,081,656/1,681,481 = 1,681,481/x
  3. Step 3: Cross multiply
    1,081,656x = 1,681,481 × 1,681,481
  4. Step 4: Simplify right side
    1,081,656x = 2,827,378,353,361
  5. Step 5: Solve for x
    x = 2,827,378,353,361/1,081,656
  6. Step 6: Final answer
    x = 2,613,934.89

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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.