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Finding the Third Proportional to 527,707 and 1,244,480

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Solution

The third proportional to 527,707 and 1,244,480 is: 2,934,830.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,707 : 1,244,480 = 1,244,480 : x
  2. Step 2: Convert to fraction form
    527,707/1,244,480 = 1,244,480/x
  3. Step 3: Cross multiply
    527,707x = 1,244,480 × 1,244,480
  4. Step 4: Simplify right side
    527,707x = 1,548,730,470,400
  5. Step 5: Solve for x
    x = 1,548,730,470,400/527,707
  6. Step 6: Final answer
    x = 2,934,830.26

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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.