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Finding the Third Proportional to 619,224 and 872,013

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Solution

The third proportional to 619,224 and 872,013 is: 1,227,999.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,224 : 872,013 = 872,013 : x
  2. Step 2: Convert to fraction form
    619,224/872,013 = 872,013/x
  3. Step 3: Cross multiply
    619,224x = 872,013 × 872,013
  4. Step 4: Simplify right side
    619,224x = 760,406,672,169
  5. Step 5: Solve for x
    x = 760,406,672,169/619,224
  6. Step 6: Final answer
    x = 1,227,999.35

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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.