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Finding the Third Proportional to 619,319 and 872,143

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Solution

The third proportional to 619,319 and 872,143 is: 1,228,177.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,319 : 872,143 = 872,143 : x
  2. Step 2: Convert to fraction form
    619,319/872,143 = 872,143/x
  3. Step 3: Cross multiply
    619,319x = 872,143 × 872,143
  4. Step 4: Simplify right side
    619,319x = 760,633,412,449
  5. Step 5: Solve for x
    x = 760,633,412,449/619,319
  6. Step 6: Final answer
    x = 1,228,177.10

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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.