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Finding the Third Proportional to 474,789 and 1,098,195

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Solution

The third proportional to 474,789 and 1,098,195 is: 2,540,143.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,789 : 1,098,195 = 1,098,195 : x
  2. Step 2: Convert to fraction form
    474,789/1,098,195 = 1,098,195/x
  3. Step 3: Cross multiply
    474,789x = 1,098,195 × 1,098,195
  4. Step 4: Simplify right side
    474,789x = 1,206,032,258,025
  5. Step 5: Solve for x
    x = 1,206,032,258,025/474,789
  6. Step 6: Final answer
    x = 2,540,143.64

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.