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Finding the Third Proportional to 1,268,082 and 1,727,127

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Solution

The third proportional to 1,268,082 and 1,727,127 is: 2,352,346.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,082 : 1,727,127 = 1,727,127 : x
  2. Step 2: Convert to fraction form
    1,268,082/1,727,127 = 1,727,127/x
  3. Step 3: Cross multiply
    1,268,082x = 1,727,127 × 1,727,127
  4. Step 4: Simplify right side
    1,268,082x = 2,982,967,674,129
  5. Step 5: Solve for x
    x = 2,982,967,674,129/1,268,082
  6. Step 6: Final answer
    x = 2,352,346.04

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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.