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Finding the Third Proportional to 3,219,750 and 4,357,233

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Solution

The third proportional to 3,219,750 and 4,357,233 is: 5,896,569.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219,750 : 4,357,233 = 4,357,233 : x
  2. Step 2: Convert to fraction form
    3,219,750/4,357,233 = 4,357,233/x
  3. Step 3: Cross multiply
    3,219,750x = 4,357,233 × 4,357,233
  4. Step 4: Simplify right side
    3,219,750x = 18,985,479,416,289
  5. Step 5: Solve for x
    x = 18,985,479,416,289/3,219,750
  6. Step 6: Final answer
    x = 5,896,569.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.