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Finding the Third Proportional to 897,542 and 1,944,625

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Solution

The third proportional to 897,542 and 1,944,625 is: 4,213,247.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,542 : 1,944,625 = 1,944,625 : x
  2. Step 2: Convert to fraction form
    897,542/1,944,625 = 1,944,625/x
  3. Step 3: Cross multiply
    897,542x = 1,944,625 × 1,944,625
  4. Step 4: Simplify right side
    897,542x = 3,781,566,390,625
  5. Step 5: Solve for x
    x = 3,781,566,390,625/897,542
  6. Step 6: Final answer
    x = 4,213,247.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.