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Finding the Third Proportional to 647,472 and 1,320,624

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Solution

The third proportional to 647,472 and 1,320,624 is: 2,693,626.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,472 : 1,320,624 = 1,320,624 : x
  2. Step 2: Convert to fraction form
    647,472/1,320,624 = 1,320,624/x
  3. Step 3: Cross multiply
    647,472x = 1,320,624 × 1,320,624
  4. Step 4: Simplify right side
    647,472x = 1,744,047,749,376
  5. Step 5: Solve for x
    x = 1,744,047,749,376/647,472
  6. Step 6: Final answer
    x = 2,693,626.52

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.