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Finding the Third Proportional to 391,185 and 857,101.50

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Solution

The third proportional to 391,185 and 857,101.50 is: 1,877,942.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,185 : 857,101.50 = 857,101.50 : x
  2. Step 2: Convert to fraction form
    391,185/857,101.50 = 857,101.50/x
  3. Step 3: Cross multiply
    391,185x = 857,101.50 × 857,101.50
  4. Step 4: Simplify right side
    391,185x = 734,622,981,302.25
  5. Step 5: Solve for x
    x = 734,622,981,302.25/391,185
  6. Step 6: Final answer
    x = 1,877,942.61

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.