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Finding the Third Proportional to 686,314 and 1,034,872

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Solution

The third proportional to 686,314 and 1,034,872 is: 1,560,452.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,314 : 1,034,872 = 1,034,872 : x
  2. Step 2: Convert to fraction form
    686,314/1,034,872 = 1,034,872/x
  3. Step 3: Cross multiply
    686,314x = 1,034,872 × 1,034,872
  4. Step 4: Simplify right side
    686,314x = 1,070,960,056,384
  5. Step 5: Solve for x
    x = 1,070,960,056,384/686,314
  6. Step 6: Final answer
    x = 1,560,452.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.