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Finding the Third Proportional to 532,027 and 1,167,436

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Solution

The third proportional to 532,027 and 1,167,436 is: 2,561,724.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,027 : 1,167,436 = 1,167,436 : x
  2. Step 2: Convert to fraction form
    532,027/1,167,436 = 1,167,436/x
  3. Step 3: Cross multiply
    532,027x = 1,167,436 × 1,167,436
  4. Step 4: Simplify right side
    532,027x = 1,362,906,814,096
  5. Step 5: Solve for x
    x = 1,362,906,814,096/532,027
  6. Step 6: Final answer
    x = 2,561,724.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.