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Finding the Third Proportional to 1,501,449.75 and 3,301,786.13

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Solution

The third proportional to 1,501,449.75 and 3,301,786.13 is: 7,260,843.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501,449.75 : 3,301,786.13 = 3,301,786.13 : x
  2. Step 2: Convert to fraction form
    1,501,449.75/3,301,786.13 = 3,301,786.13/x
  3. Step 3: Cross multiply
    1,501,449.75x = 3,301,786.13 × 3,301,786.13
  4. Step 4: Simplify right side
    1,501,449.75x = 10,901,791,615,242.52
  5. Step 5: Solve for x
    x = 10,901,791,615,242.52/1,501,449.75
  6. Step 6: Final answer
    x = 7,260,843.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.