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Finding the Third Proportional to 532,680 and 1,144,416

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Solution

The third proportional to 532,680 and 1,144,416 is: 2,458,676.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,680 : 1,144,416 = 1,144,416 : x
  2. Step 2: Convert to fraction form
    532,680/1,144,416 = 1,144,416/x
  3. Step 3: Cross multiply
    532,680x = 1,144,416 × 1,144,416
  4. Step 4: Simplify right side
    532,680x = 1,309,687,981,056
  5. Step 5: Solve for x
    x = 1,309,687,981,056/532,680
  6. Step 6: Final answer
    x = 2,458,676.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.