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Finding the Third Proportional to 628,698 and 1,286,448

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Solution

The third proportional to 628,698 and 1,286,448 is: 2,632,342.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,698 : 1,286,448 = 1,286,448 : x
  2. Step 2: Convert to fraction form
    628,698/1,286,448 = 1,286,448/x
  3. Step 3: Cross multiply
    628,698x = 1,286,448 × 1,286,448
  4. Step 4: Simplify right side
    628,698x = 1,654,948,456,704
  5. Step 5: Solve for x
    x = 1,654,948,456,704/628,698
  6. Step 6: Final answer
    x = 2,632,342.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.