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Finding the Third Proportional to 619,848 and 872,867

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Solution

The third proportional to 619,848 and 872,867 is: 1,229,167.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,848 : 872,867 = 872,867 : x
  2. Step 2: Convert to fraction form
    619,848/872,867 = 872,867/x
  3. Step 3: Cross multiply
    619,848x = 872,867 × 872,867
  4. Step 4: Simplify right side
    619,848x = 761,896,799,689
  5. Step 5: Solve for x
    x = 761,896,799,689/619,848
  6. Step 6: Final answer
    x = 1,229,167.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.