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Finding the Third Proportional to 618,437 and 1,342,624

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Solution

The third proportional to 618,437 and 1,342,624 is: 2,914,830.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,437 : 1,342,624 = 1,342,624 : x
  2. Step 2: Convert to fraction form
    618,437/1,342,624 = 1,342,624/x
  3. Step 3: Cross multiply
    618,437x = 1,342,624 × 1,342,624
  4. Step 4: Simplify right side
    618,437x = 1,802,639,205,376
  5. Step 5: Solve for x
    x = 1,802,639,205,376/618,437
  6. Step 6: Final answer
    x = 2,914,830.78

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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.