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Finding the Third Proportional to 676,778 and 952,210

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Solution

The third proportional to 676,778 and 952,210 is: 1,339,736.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,778 : 952,210 = 952,210 : x
  2. Step 2: Convert to fraction form
    676,778/952,210 = 952,210/x
  3. Step 3: Cross multiply
    676,778x = 952,210 × 952,210
  4. Step 4: Simplify right side
    676,778x = 906,703,884,100
  5. Step 5: Solve for x
    x = 906,703,884,100/676,778
  6. Step 6: Final answer
    x = 1,339,736.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.