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Finding the Third Proportional to 1,268,900.25 and 1,966,061.25

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Solution

The third proportional to 1,268,900.25 and 1,966,061.25 is: 3,046,257.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,900.25 : 1,966,061.25 = 1,966,061.25 : x
  2. Step 2: Convert to fraction form
    1,268,900.25/1,966,061.25 = 1,966,061.25/x
  3. Step 3: Cross multiply
    1,268,900.25x = 1,966,061.25 × 1,966,061.25
  4. Step 4: Simplify right side
    1,268,900.25x = 3,865,396,838,751.56
  5. Step 5: Solve for x
    x = 3,865,396,838,751.56/1,268,900.25
  6. Step 6: Final answer
    x = 3,046,257.45

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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.