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Finding the Third Proportional to 472,255.31 and 1,019,142

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Solution

The third proportional to 472,255.31 and 1,019,142 is: 2,199,340.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,255.31 : 1,019,142 = 1,019,142 : x
  2. Step 2: Convert to fraction form
    472,255.31/1,019,142 = 1,019,142/x
  3. Step 3: Cross multiply
    472,255.31x = 1,019,142 × 1,019,142
  4. Step 4: Simplify right side
    472,255.31x = 1,038,650,416,164
  5. Step 5: Solve for x
    x = 1,038,650,416,164/472,255.31
  6. Step 6: Final answer
    x = 2,199,340.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.