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Finding the Third Proportional to 573,180 and 1,214,634

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Solution

The third proportional to 573,180 and 1,214,634 is: 2,573,948.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,180 : 1,214,634 = 1,214,634 : x
  2. Step 2: Convert to fraction form
    573,180/1,214,634 = 1,214,634/x
  3. Step 3: Cross multiply
    573,180x = 1,214,634 × 1,214,634
  4. Step 4: Simplify right side
    573,180x = 1,475,335,753,956
  5. Step 5: Solve for x
    x = 1,475,335,753,956/573,180
  6. Step 6: Final answer
    x = 2,573,948.42

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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.