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Finding the Third Proportional to 709,089 and 1,555,941

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Solution

The third proportional to 709,089 and 1,555,941 is: 3,414,172.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,089 : 1,555,941 = 1,555,941 : x
  2. Step 2: Convert to fraction form
    709,089/1,555,941 = 1,555,941/x
  3. Step 3: Cross multiply
    709,089x = 1,555,941 × 1,555,941
  4. Step 4: Simplify right side
    709,089x = 2,420,952,395,481
  5. Step 5: Solve for x
    x = 2,420,952,395,481/709,089
  6. Step 6: Final answer
    x = 3,414,172.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.