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Finding the Third Proportional to 1,422 and 2,709

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Solution

The third proportional to 1,422 and 2,709 is: 5,160.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422 : 2,709 = 2,709 : x
  2. Step 2: Convert to fraction form
    1,422/2,709 = 2,709/x
  3. Step 3: Cross multiply
    1,422x = 2,709 × 2,709
  4. Step 4: Simplify right side
    1,422x = 7,338,681
  5. Step 5: Solve for x
    x = 7,338,681/1,422
  6. Step 6: Final answer
    x = 5,160.82

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.