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Finding the Third Proportional to 1,268,880 and 1,722,464

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Solution

The third proportional to 1,268,880 and 1,722,464 is: 2,338,189.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,880 : 1,722,464 = 1,722,464 : x
  2. Step 2: Convert to fraction form
    1,268,880/1,722,464 = 1,722,464/x
  3. Step 3: Cross multiply
    1,268,880x = 1,722,464 × 1,722,464
  4. Step 4: Simplify right side
    1,268,880x = 2,966,882,231,296
  5. Step 5: Solve for x
    x = 2,966,882,231,296/1,268,880
  6. Step 6: Final answer
    x = 2,338,189.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.