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Finding the Third Proportional to 1,268,827.50 and 1,943,427

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Solution

The third proportional to 1,268,827.50 and 1,943,427 is: 2,976,691.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,827.50 : 1,943,427 = 1,943,427 : x
  2. Step 2: Convert to fraction form
    1,268,827.50/1,943,427 = 1,943,427/x
  3. Step 3: Cross multiply
    1,268,827.50x = 1,943,427 × 1,943,427
  4. Step 4: Simplify right side
    1,268,827.50x = 3,776,908,504,329
  5. Step 5: Solve for x
    x = 3,776,908,504,329/1,268,827.50
  6. Step 6: Final answer
    x = 2,976,691.87

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Why These Related Problems?

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