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Finding the Third Proportional to 688,398 and 1,491,180

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Solution

The third proportional to 688,398 and 1,491,180 is: 3,230,134.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,398 : 1,491,180 = 1,491,180 : x
  2. Step 2: Convert to fraction form
    688,398/1,491,180 = 1,491,180/x
  3. Step 3: Cross multiply
    688,398x = 1,491,180 × 1,491,180
  4. Step 4: Simplify right side
    688,398x = 2,223,617,792,400
  5. Step 5: Solve for x
    x = 2,223,617,792,400/688,398
  6. Step 6: Final answer
    x = 3,230,134.01

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Why These Related Problems?

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