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Finding the Third Proportional to 731,052.38 and 1,630,197

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Solution

The third proportional to 731,052.38 and 1,630,197 is: 3,635,228.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,052.38 : 1,630,197 = 1,630,197 : x
  2. Step 2: Convert to fraction form
    731,052.38/1,630,197 = 1,630,197/x
  3. Step 3: Cross multiply
    731,052.38x = 1,630,197 × 1,630,197
  4. Step 4: Simplify right side
    731,052.38x = 2,657,542,258,809
  5. Step 5: Solve for x
    x = 2,657,542,258,809/731,052.38
  6. Step 6: Final answer
    x = 3,635,228.27

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.