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Finding the Third Proportional to 686,743 and 1,010,267

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Solution

The third proportional to 686,743 and 1,010,267 is: 1,486,202.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,743 : 1,010,267 = 1,010,267 : x
  2. Step 2: Convert to fraction form
    686,743/1,010,267 = 1,010,267/x
  3. Step 3: Cross multiply
    686,743x = 1,010,267 × 1,010,267
  4. Step 4: Simplify right side
    686,743x = 1,020,639,411,289
  5. Step 5: Solve for x
    x = 1,020,639,411,289/686,743
  6. Step 6: Final answer
    x = 1,486,202.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.