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Finding the Third Proportional to 534,742 and 1,189,034

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Solution

The third proportional to 534,742 and 1,189,034 is: 2,643,895.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,742 : 1,189,034 = 1,189,034 : x
  2. Step 2: Convert to fraction form
    534,742/1,189,034 = 1,189,034/x
  3. Step 3: Cross multiply
    534,742x = 1,189,034 × 1,189,034
  4. Step 4: Simplify right side
    534,742x = 1,413,801,853,156
  5. Step 5: Solve for x
    x = 1,413,801,853,156/534,742
  6. Step 6: Final answer
    x = 2,643,895.29

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.