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Finding the Third Proportional to 527,600 and 1,244,207

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Solution

The third proportional to 527,600 and 1,244,207 is: 2,934,137.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,600 : 1,244,207 = 1,244,207 : x
  2. Step 2: Convert to fraction form
    527,600/1,244,207 = 1,244,207/x
  3. Step 3: Cross multiply
    527,600x = 1,244,207 × 1,244,207
  4. Step 4: Simplify right side
    527,600x = 1,548,051,058,849
  5. Step 5: Solve for x
    x = 1,548,051,058,849/527,600
  6. Step 6: Final answer
    x = 2,934,137.72

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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.