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Finding the Third Proportional to 420,943.08 and 925,966.69

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Solution

The third proportional to 420,943.08 and 925,966.69 is: 2,036,888.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,943.08 : 925,966.69 = 925,966.69 : x
  2. Step 2: Convert to fraction form
    420,943.08/925,966.69 = 925,966.69/x
  3. Step 3: Cross multiply
    420,943.08x = 925,966.69 × 925,966.69
  4. Step 4: Simplify right side
    420,943.08x = 857,414,306,359.72
  5. Step 5: Solve for x
    x = 857,414,306,359.72/420,943.08
  6. Step 6: Final answer
    x = 2,036,888.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.