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Finding the Third Proportional to 3,281,775.75 and 5,192,352

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Solution

The third proportional to 3,281,775.75 and 5,192,352 is: 8,215,222.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281,775.75 : 5,192,352 = 5,192,352 : x
  2. Step 2: Convert to fraction form
    3,281,775.75/5,192,352 = 5,192,352/x
  3. Step 3: Cross multiply
    3,281,775.75x = 5,192,352 × 5,192,352
  4. Step 4: Simplify right side
    3,281,775.75x = 26,960,519,291,904
  5. Step 5: Solve for x
    x = 26,960,519,291,904/3,281,775.75
  6. Step 6: Final answer
    x = 8,215,222.90

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.