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Finding the Third Proportional to 686,929 and 1,010,517

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Solution

The third proportional to 686,929 and 1,010,517 is: 1,486,535.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,929 : 1,010,517 = 1,010,517 : x
  2. Step 2: Convert to fraction form
    686,929/1,010,517 = 1,010,517/x
  3. Step 3: Cross multiply
    686,929x = 1,010,517 × 1,010,517
  4. Step 4: Simplify right side
    686,929x = 1,021,144,607,289
  5. Step 5: Solve for x
    x = 1,021,144,607,289/686,929
  6. Step 6: Final answer
    x = 1,486,535.88

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