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Finding the Third Proportional to 573,418 and 1,215,200

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Solution

The third proportional to 573,418 and 1,215,200 is: 2,575,278.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,418 : 1,215,200 = 1,215,200 : x
  2. Step 2: Convert to fraction form
    573,418/1,215,200 = 1,215,200/x
  3. Step 3: Cross multiply
    573,418x = 1,215,200 × 1,215,200
  4. Step 4: Simplify right side
    573,418x = 1,476,711,040,000
  5. Step 5: Solve for x
    x = 1,476,711,040,000/573,418
  6. Step 6: Final answer
    x = 2,575,278.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.