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Finding the Third Proportional to 744,676.50 and 1,607,424

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Solution

The third proportional to 744,676.50 and 1,607,424 is: 3,469,710.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,676.50 : 1,607,424 = 1,607,424 : x
  2. Step 2: Convert to fraction form
    744,676.50/1,607,424 = 1,607,424/x
  3. Step 3: Cross multiply
    744,676.50x = 1,607,424 × 1,607,424
  4. Step 4: Simplify right side
    744,676.50x = 2,583,811,915,776
  5. Step 5: Solve for x
    x = 2,583,811,915,776/744,676.50
  6. Step 6: Final answer
    x = 3,469,710.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.