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Finding the Third Proportional to 857,119 and 1,843,230

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Solution

The third proportional to 857,119 and 1,843,230 is: 3,963,856.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,119 : 1,843,230 = 1,843,230 : x
  2. Step 2: Convert to fraction form
    857,119/1,843,230 = 1,843,230/x
  3. Step 3: Cross multiply
    857,119x = 1,843,230 × 1,843,230
  4. Step 4: Simplify right side
    857,119x = 3,397,496,832,900
  5. Step 5: Solve for x
    x = 3,397,496,832,900/857,119
  6. Step 6: Final answer
    x = 3,963,856.63

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.