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Finding the Third Proportional to 2,339,014.50 and 3,498,814.13

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Solution

The third proportional to 2,339,014.50 and 3,498,814.13 is: 5,233,700.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339,014.50 : 3,498,814.13 = 3,498,814.13 : x
  2. Step 2: Convert to fraction form
    2,339,014.50/3,498,814.13 = 3,498,814.13/x
  3. Step 3: Cross multiply
    2,339,014.50x = 3,498,814.13 × 3,498,814.13
  4. Step 4: Simplify right side
    2,339,014.50x = 12,241,700,281,299.52
  5. Step 5: Solve for x
    x = 12,241,700,281,299.52/2,339,014.50
  6. Step 6: Final answer
    x = 5,233,700.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.