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Finding the Third Proportional to 680,448 and 1,589,328

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Solution

The third proportional to 680,448 and 1,589,328 is: 3,712,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,448 : 1,589,328 = 1,589,328 : x
  2. Step 2: Convert to fraction form
    680,448/1,589,328 = 1,589,328/x
  3. Step 3: Cross multiply
    680,448x = 1,589,328 × 1,589,328
  4. Step 4: Simplify right side
    680,448x = 2,525,963,491,584
  5. Step 5: Solve for x
    x = 2,525,963,491,584/680,448
  6. Step 6: Final answer
    x = 3,712,206.50

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.