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Finding the Third Proportional to 680,013 and 1,061,371

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Solution

The third proportional to 680,013 and 1,061,371 is: 1,656,598.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,013 : 1,061,371 = 1,061,371 : x
  2. Step 2: Convert to fraction form
    680,013/1,061,371 = 1,061,371/x
  3. Step 3: Cross multiply
    680,013x = 1,061,371 × 1,061,371
  4. Step 4: Simplify right side
    680,013x = 1,126,508,399,641
  5. Step 5: Solve for x
    x = 1,126,508,399,641/680,013
  6. Step 6: Final answer
    x = 1,656,598.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.