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Finding the Third Proportional to 686,319 and 1,034,880

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Solution

The third proportional to 686,319 and 1,034,880 is: 1,560,464.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,319 : 1,034,880 = 1,034,880 : x
  2. Step 2: Convert to fraction form
    686,319/1,034,880 = 1,034,880/x
  3. Step 3: Cross multiply
    686,319x = 1,034,880 × 1,034,880
  4. Step 4: Simplify right side
    686,319x = 1,070,976,614,400
  5. Step 5: Solve for x
    x = 1,070,976,614,400/686,319
  6. Step 6: Final answer
    x = 1,560,464.76

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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.