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Finding the Third Proportional to 527,612 and 1,244,246

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Solution

The third proportional to 527,612 and 1,244,246 is: 2,934,254.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,612 : 1,244,246 = 1,244,246 : x
  2. Step 2: Convert to fraction form
    527,612/1,244,246 = 1,244,246/x
  3. Step 3: Cross multiply
    527,612x = 1,244,246 × 1,244,246
  4. Step 4: Simplify right side
    527,612x = 1,548,148,108,516
  5. Step 5: Solve for x
    x = 1,548,148,108,516/527,612
  6. Step 6: Final answer
    x = 2,934,254.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.