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Finding the Third Proportional to 1,744,427.25 and 3,695,987.25

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Solution

The third proportional to 1,744,427.25 and 3,695,987.25 is: 7,830,834.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744,427.25 : 3,695,987.25 = 3,695,987.25 : x
  2. Step 2: Convert to fraction form
    1,744,427.25/3,695,987.25 = 3,695,987.25/x
  3. Step 3: Cross multiply
    1,744,427.25x = 3,695,987.25 × 3,695,987.25
  4. Step 4: Simplify right side
    1,744,427.25x = 13,660,321,752,162.56
  5. Step 5: Solve for x
    x = 13,660,321,752,162.56/1,744,427.25
  6. Step 6: Final answer
    x = 7,830,834.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.