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Finding the Third Proportional to 445,864 and 964,448

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Solution

The third proportional to 445,864 and 964,448 is: 2,086,196.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,864 : 964,448 = 964,448 : x
  2. Step 2: Convert to fraction form
    445,864/964,448 = 964,448/x
  3. Step 3: Cross multiply
    445,864x = 964,448 × 964,448
  4. Step 4: Simplify right side
    445,864x = 930,159,944,704
  5. Step 5: Solve for x
    x = 930,159,944,704/445,864
  6. Step 6: Final answer
    x = 2,086,196.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.