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Finding the Third Proportional to 664,633 and 1,441,442

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Solution

The third proportional to 664,633 and 1,441,442 is: 3,126,168.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,633 : 1,441,442 = 1,441,442 : x
  2. Step 2: Convert to fraction form
    664,633/1,441,442 = 1,441,442/x
  3. Step 3: Cross multiply
    664,633x = 1,441,442 × 1,441,442
  4. Step 4: Simplify right side
    664,633x = 2,077,755,039,364
  5. Step 5: Solve for x
    x = 2,077,755,039,364/664,633
  6. Step 6: Final answer
    x = 3,126,168.94

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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.