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Finding the Third Proportional to 744,048 and 1,611,720

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Solution

The third proportional to 744,048 and 1,611,720 is: 3,491,228.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,048 : 1,611,720 = 1,611,720 : x
  2. Step 2: Convert to fraction form
    744,048/1,611,720 = 1,611,720/x
  3. Step 3: Cross multiply
    744,048x = 1,611,720 × 1,611,720
  4. Step 4: Simplify right side
    744,048x = 2,597,641,358,400
  5. Step 5: Solve for x
    x = 2,597,641,358,400/744,048
  6. Step 6: Final answer
    x = 3,491,228.20

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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.