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Finding the Third Proportional to 2,587,065.75 and 5,442,282

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Solution

The third proportional to 2,587,065.75 and 5,442,282 is: 11,448,658.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587,065.75 : 5,442,282 = 5,442,282 : x
  2. Step 2: Convert to fraction form
    2,587,065.75/5,442,282 = 5,442,282/x
  3. Step 3: Cross multiply
    2,587,065.75x = 5,442,282 × 5,442,282
  4. Step 4: Simplify right side
    2,587,065.75x = 29,618,433,367,524
  5. Step 5: Solve for x
    x = 29,618,433,367,524/2,587,065.75
  6. Step 6: Final answer
    x = 11,448,658.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.