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Finding the Third Proportional to 857,190.94 and 1,832,478.19

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Solution

The third proportional to 857,190.94 and 1,832,478.19 is: 3,917,419.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,190.94 : 1,832,478.19 = 1,832,478.19 : x
  2. Step 2: Convert to fraction form
    857,190.94/1,832,478.19 = 1,832,478.19/x
  3. Step 3: Cross multiply
    857,190.94x = 1,832,478.19 × 1,832,478.19
  4. Step 4: Simplify right side
    857,190.94x = 3,357,976,307,663.29
  5. Step 5: Solve for x
    x = 3,357,976,307,663.29/857,190.94
  6. Step 6: Final answer
    x = 3,917,419.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.