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Finding the Third Proportional to 619,362 and 872,190

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Solution

The third proportional to 619,362 and 872,190 is: 1,228,224.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,362 : 872,190 = 872,190 : x
  2. Step 2: Convert to fraction form
    619,362/872,190 = 872,190/x
  3. Step 3: Cross multiply
    619,362x = 872,190 × 872,190
  4. Step 4: Simplify right side
    619,362x = 760,715,396,100
  5. Step 5: Solve for x
    x = 760,715,396,100/619,362
  6. Step 6: Final answer
    x = 1,228,224.20

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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.