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Finding the Third Proportional to 744,308.25 and 1,614,642.75

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Solution

The third proportional to 744,308.25 and 1,614,642.75 is: 3,502,676.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,308.25 : 1,614,642.75 = 1,614,642.75 : x
  2. Step 2: Convert to fraction form
    744,308.25/1,614,642.75 = 1,614,642.75/x
  3. Step 3: Cross multiply
    744,308.25x = 1,614,642.75 × 1,614,642.75
  4. Step 4: Simplify right side
    744,308.25x = 2,607,071,210,127.56
  5. Step 5: Solve for x
    x = 2,607,071,210,127.56/744,308.25
  6. Step 6: Final answer
    x = 3,502,676.76

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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.