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Finding the Third Proportional to 474,867.56 and 1,039,788.46

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Solution

The third proportional to 474,867.56 and 1,039,788.46 is: 2,276,761.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,867.56 : 1,039,788.46 = 1,039,788.46 : x
  2. Step 2: Convert to fraction form
    474,867.56/1,039,788.46 = 1,039,788.46/x
  3. Step 3: Cross multiply
    474,867.56x = 1,039,788.46 × 1,039,788.46
  4. Step 4: Simplify right side
    474,867.56x = 1,081,160,035,375.32
  5. Step 5: Solve for x
    x = 1,081,160,035,375.32/474,867.56
  6. Step 6: Final answer
    x = 2,276,761.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.