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Finding the Third Proportional to 534,855.88 and 1,189,298.13

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Solution

The third proportional to 534,855.88 and 1,189,298.13 is: 2,644,506.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,855.88 : 1,189,298.13 = 1,189,298.13 : x
  2. Step 2: Convert to fraction form
    534,855.88/1,189,298.13 = 1,189,298.13/x
  3. Step 3: Cross multiply
    534,855.88x = 1,189,298.13 × 1,189,298.13
  4. Step 4: Simplify right side
    534,855.88x = 1,414,430,030,128.52
  5. Step 5: Solve for x
    x = 1,414,430,030,128.52/534,855.88
  6. Step 6: Final answer
    x = 2,644,506.86

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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.