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Finding the Third Proportional to 676,170 and 1,046,448

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Solution

The third proportional to 676,170 and 1,046,448 is: 1,619,494.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,170 : 1,046,448 = 1,046,448 : x
  2. Step 2: Convert to fraction form
    676,170/1,046,448 = 1,046,448/x
  3. Step 3: Cross multiply
    676,170x = 1,046,448 × 1,046,448
  4. Step 4: Simplify right side
    676,170x = 1,095,053,416,704
  5. Step 5: Solve for x
    x = 1,095,053,416,704/676,170
  6. Step 6: Final answer
    x = 1,619,494.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.