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Finding the Third Proportional to 672,366 and 1,456,734

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Solution

The third proportional to 672,366 and 1,456,734 is: 3,156,129.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,366 : 1,456,734 = 1,456,734 : x
  2. Step 2: Convert to fraction form
    672,366/1,456,734 = 1,456,734/x
  3. Step 3: Cross multiply
    672,366x = 1,456,734 × 1,456,734
  4. Step 4: Simplify right side
    672,366x = 2,122,073,946,756
  5. Step 5: Solve for x
    x = 2,122,073,946,756/672,366
  6. Step 6: Final answer
    x = 3,156,129.17

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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.