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Finding the Third Proportional to 619,290 and 872,103

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Solution

The third proportional to 619,290 and 872,103 is: 1,228,121.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,290 : 872,103 = 872,103 : x
  2. Step 2: Convert to fraction form
    619,290/872,103 = 872,103/x
  3. Step 3: Cross multiply
    619,290x = 872,103 × 872,103
  4. Step 4: Simplify right side
    619,290x = 760,563,642,609
  5. Step 5: Solve for x
    x = 760,563,642,609/619,290
  6. Step 6: Final answer
    x = 1,228,121.95

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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.