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Finding the Third Proportional to 688,317 and 1,491,040

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Solution

The third proportional to 688,317 and 1,491,040 is: 3,229,907.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,317 : 1,491,040 = 1,491,040 : x
  2. Step 2: Convert to fraction form
    688,317/1,491,040 = 1,491,040/x
  3. Step 3: Cross multiply
    688,317x = 1,491,040 × 1,491,040
  4. Step 4: Simplify right side
    688,317x = 2,223,200,281,600
  5. Step 5: Solve for x
    x = 2,223,200,281,600/688,317
  6. Step 6: Final answer
    x = 3,229,907.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.