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Finding the Third Proportional to 539,376 and 1,182,432

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Solution

The third proportional to 539,376 and 1,182,432 is: 2,592,153.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,376 : 1,182,432 = 1,182,432 : x
  2. Step 2: Convert to fraction form
    539,376/1,182,432 = 1,182,432/x
  3. Step 3: Cross multiply
    539,376x = 1,182,432 × 1,182,432
  4. Step 4: Simplify right side
    539,376x = 1,398,145,434,624
  5. Step 5: Solve for x
    x = 1,398,145,434,624/539,376
  6. Step 6: Final answer
    x = 2,592,153.59

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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.