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Finding the Third Proportional to 928,080 and 1,977,552

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Solution

The third proportional to 928,080 and 1,977,552 is: 4,213,765.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    928,080 : 1,977,552 = 1,977,552 : x
  2. Step 2: Convert to fraction form
    928,080/1,977,552 = 1,977,552/x
  3. Step 3: Cross multiply
    928,080x = 1,977,552 × 1,977,552
  4. Step 4: Simplify right side
    928,080x = 3,910,711,912,704
  5. Step 5: Solve for x
    x = 3,910,711,912,704/928,080
  6. Step 6: Final answer
    x = 4,213,765.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.