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Finding the Third Proportional to 1,105,167.80 and 2,378,404.27

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Solution

The third proportional to 1,105,167.80 and 2,378,404.27 is: 5,118,504.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105,167.80 : 2,378,404.27 = 2,378,404.27 : x
  2. Step 2: Convert to fraction form
    1,105,167.80/2,378,404.27 = 2,378,404.27/x
  3. Step 3: Cross multiply
    1,105,167.80x = 2,378,404.27 × 2,378,404.27
  4. Step 4: Simplify right side
    1,105,167.80x = 5,656,806,850,743.20
  5. Step 5: Solve for x
    x = 5,656,806,850,743.20/1,105,167.80
  6. Step 6: Final answer
    x = 5,118,504.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.