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Finding the Third Proportional to 752,738.06 and 1,654,328.81

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Solution

The third proportional to 752,738.06 and 1,654,328.81 is: 3,635,798.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,738.06 : 1,654,328.81 = 1,654,328.81 : x
  2. Step 2: Convert to fraction form
    752,738.06/1,654,328.81 = 1,654,328.81/x
  3. Step 3: Cross multiply
    752,738.06x = 1,654,328.81 × 1,654,328.81
  4. Step 4: Simplify right side
    752,738.06x = 2,736,803,819,867.66
  5. Step 5: Solve for x
    x = 2,736,803,819,867.66/752,738.06
  6. Step 6: Final answer
    x = 3,635,798.37

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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.