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Finding the Third Proportional to 744,072 and 1,614,990

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Solution

The third proportional to 744,072 and 1,614,990 is: 3,505,296.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,072 : 1,614,990 = 1,614,990 : x
  2. Step 2: Convert to fraction form
    744,072/1,614,990 = 1,614,990/x
  3. Step 3: Cross multiply
    744,072x = 1,614,990 × 1,614,990
  4. Step 4: Simplify right side
    744,072x = 2,608,192,700,100
  5. Step 5: Solve for x
    x = 2,608,192,700,100/744,072
  6. Step 6: Final answer
    x = 3,505,296.13

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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.