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Finding the Third Proportional to 662,614 and 882,809

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Solution

The third proportional to 662,614 and 882,809 is: 1,176,177.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,614 : 882,809 = 882,809 : x
  2. Step 2: Convert to fraction form
    662,614/882,809 = 882,809/x
  3. Step 3: Cross multiply
    662,614x = 882,809 × 882,809
  4. Step 4: Simplify right side
    662,614x = 779,351,730,481
  5. Step 5: Solve for x
    x = 779,351,730,481/662,614
  6. Step 6: Final answer
    x = 1,176,177.58

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.