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Finding the Third Proportional to 1,268,500.50 and 1,965,444.75

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Solution

The third proportional to 1,268,500.50 and 1,965,444.75 is: 3,045,306.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,500.50 : 1,965,444.75 = 1,965,444.75 : x
  2. Step 2: Convert to fraction form
    1,268,500.50/1,965,444.75 = 1,965,444.75/x
  3. Step 3: Cross multiply
    1,268,500.50x = 1,965,444.75 × 1,965,444.75
  4. Step 4: Simplify right side
    1,268,500.50x = 3,862,973,065,302.56
  5. Step 5: Solve for x
    x = 3,862,973,065,302.56/1,268,500.50
  6. Step 6: Final answer
    x = 3,045,306.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.