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Finding the Third Proportional to 521,391 and 1,142,442

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Solution

The third proportional to 521,391 and 1,142,442 is: 2,503,253.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,391 : 1,142,442 = 1,142,442 : x
  2. Step 2: Convert to fraction form
    521,391/1,142,442 = 1,142,442/x
  3. Step 3: Cross multiply
    521,391x = 1,142,442 × 1,142,442
  4. Step 4: Simplify right side
    521,391x = 1,305,173,723,364
  5. Step 5: Solve for x
    x = 1,305,173,723,364/521,391
  6. Step 6: Final answer
    x = 2,503,253.27

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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.