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Finding the Third Proportional to 605,524 and 1,427,384

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Solution

The third proportional to 605,524 and 1,427,384 is: 3,364,730.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,524 : 1,427,384 = 1,427,384 : x
  2. Step 2: Convert to fraction form
    605,524/1,427,384 = 1,427,384/x
  3. Step 3: Cross multiply
    605,524x = 1,427,384 × 1,427,384
  4. Step 4: Simplify right side
    605,524x = 2,037,425,083,456
  5. Step 5: Solve for x
    x = 2,037,425,083,456/605,524
  6. Step 6: Final answer
    x = 3,364,730.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.