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Finding the Third Proportional to 2,189,466 and 3,486,565.50

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Solution

The third proportional to 2,189,466 and 3,486,565.50 is: 5,552,102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189,466 : 3,486,565.50 = 3,486,565.50 : x
  2. Step 2: Convert to fraction form
    2,189,466/3,486,565.50 = 3,486,565.50/x
  3. Step 3: Cross multiply
    2,189,466x = 3,486,565.50 × 3,486,565.50
  4. Step 4: Simplify right side
    2,189,466x = 12,156,138,985,790.25
  5. Step 5: Solve for x
    x = 12,156,138,985,790.25/2,189,466
  6. Step 6: Final answer
    x = 5,552,102.20

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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.