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Finding the Third Proportional to 474,275.25 and 1,027,910.25

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Solution

The third proportional to 474,275.25 and 1,027,910.25 is: 2,227,819.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,275.25 : 1,027,910.25 = 1,027,910.25 : x
  2. Step 2: Convert to fraction form
    474,275.25/1,027,910.25 = 1,027,910.25/x
  3. Step 3: Cross multiply
    474,275.25x = 1,027,910.25 × 1,027,910.25
  4. Step 4: Simplify right side
    474,275.25x = 1,056,599,482,055.06
  5. Step 5: Solve for x
    x = 1,056,599,482,055.06/474,275.25
  6. Step 6: Final answer
    x = 2,227,819.15

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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.