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Finding the Third Proportional to 744,080 and 1,615,006

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Solution

The third proportional to 744,080 and 1,615,006 is: 3,505,327.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,080 : 1,615,006 = 1,615,006 : x
  2. Step 2: Convert to fraction form
    744,080/1,615,006 = 1,615,006/x
  3. Step 3: Cross multiply
    744,080x = 1,615,006 × 1,615,006
  4. Step 4: Simplify right side
    744,080x = 2,608,244,380,036
  5. Step 5: Solve for x
    x = 2,608,244,380,036/744,080
  6. Step 6: Final answer
    x = 3,505,327.89

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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.