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Finding the Third Proportional to 744,512 and 1,614,988

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Solution

The third proportional to 744,512 and 1,614,988 is: 3,503,215.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,512 : 1,614,988 = 1,614,988 : x
  2. Step 2: Convert to fraction form
    744,512/1,614,988 = 1,614,988/x
  3. Step 3: Cross multiply
    744,512x = 1,614,988 × 1,614,988
  4. Step 4: Simplify right side
    744,512x = 2,608,186,240,144
  5. Step 5: Solve for x
    x = 2,608,186,240,144/744,512
  6. Step 6: Final answer
    x = 3,503,215.85

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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.