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Finding the Third Proportional to 1,268,824.50 and 1,943,422.88

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Solution

The third proportional to 1,268,824.50 and 1,943,422.88 is: 2,976,686.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,824.50 : 1,943,422.88 = 1,943,422.88 : x
  2. Step 2: Convert to fraction form
    1,268,824.50/1,943,422.88 = 1,943,422.88/x
  3. Step 3: Cross multiply
    1,268,824.50x = 1,943,422.88 × 1,943,422.88
  4. Step 4: Simplify right side
    1,268,824.50x = 3,776,892,471,073.27
  5. Step 5: Solve for x
    x = 3,776,892,471,073.27/1,268,824.50
  6. Step 6: Final answer
    x = 2,976,686.27

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.