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Finding the Third Proportional to 619,315 and 872,137

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Solution

The third proportional to 619,315 and 872,137 is: 1,228,168.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,315 : 872,137 = 872,137 : x
  2. Step 2: Convert to fraction form
    619,315/872,137 = 872,137/x
  3. Step 3: Cross multiply
    619,315x = 872,137 × 872,137
  4. Step 4: Simplify right side
    619,315x = 760,622,946,769
  5. Step 5: Solve for x
    x = 760,622,946,769/619,315
  6. Step 6: Final answer
    x = 1,228,168.13

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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.