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Finding the Third Proportional to 667,633 and 1,484,531

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Solution

The third proportional to 667,633 and 1,484,531 is: 3,300,963.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,633 : 1,484,531 = 1,484,531 : x
  2. Step 2: Convert to fraction form
    667,633/1,484,531 = 1,484,531/x
  3. Step 3: Cross multiply
    667,633x = 1,484,531 × 1,484,531
  4. Step 4: Simplify right side
    667,633x = 2,203,832,289,961
  5. Step 5: Solve for x
    x = 2,203,832,289,961/667,633
  6. Step 6: Final answer
    x = 3,300,963.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.