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Finding the Third Proportional to 857,202.75 and 1,832,499

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Solution

The third proportional to 857,202.75 and 1,832,499 is: 3,917,454.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,202.75 : 1,832,499 = 1,832,499 : x
  2. Step 2: Convert to fraction form
    857,202.75/1,832,499 = 1,832,499/x
  3. Step 3: Cross multiply
    857,202.75x = 1,832,499 × 1,832,499
  4. Step 4: Simplify right side
    857,202.75x = 3,358,052,585,001
  5. Step 5: Solve for x
    x = 3,358,052,585,001/857,202.75
  6. Step 6: Final answer
    x = 3,917,454.28

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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.