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Finding the Third Proportional to 619,842 and 872,859

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Solution

The third proportional to 619,842 and 872,859 is: 1,229,156.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,842 : 872,859 = 872,859 : x
  2. Step 2: Convert to fraction form
    619,842/872,859 = 872,859/x
  3. Step 3: Cross multiply
    619,842x = 872,859 × 872,859
  4. Step 4: Simplify right side
    619,842x = 761,882,833,881
  5. Step 5: Solve for x
    x = 761,882,833,881/619,842
  6. Step 6: Final answer
    x = 1,229,156.52

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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.