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Finding the Third Proportional to 1,238,468 and 2,561,892

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Solution

The third proportional to 1,238,468 and 2,561,892 is: 5,299,523.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238,468 : 2,561,892 = 2,561,892 : x
  2. Step 2: Convert to fraction form
    1,238,468/2,561,892 = 2,561,892/x
  3. Step 3: Cross multiply
    1,238,468x = 2,561,892 × 2,561,892
  4. Step 4: Simplify right side
    1,238,468x = 6,563,290,619,664
  5. Step 5: Solve for x
    x = 6,563,290,619,664/1,238,468
  6. Step 6: Final answer
    x = 5,299,523.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.