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Finding the Third Proportional to 2,189,467.13 and 3,486,565.69

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Solution

The third proportional to 2,189,467.13 and 3,486,565.69 is: 5,552,099.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189,467.13 : 3,486,565.69 = 3,486,565.69 : x
  2. Step 2: Convert to fraction form
    2,189,467.13/3,486,565.69 = 3,486,565.69/x
  3. Step 3: Cross multiply
    2,189,467.13x = 3,486,565.69 × 3,486,565.69
  4. Step 4: Simplify right side
    2,189,467.13x = 12,156,140,293,252.35
  5. Step 5: Solve for x
    x = 12,156,140,293,252.35/2,189,467.13
  6. Step 6: Final answer
    x = 5,552,099.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.