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Finding the Third Proportional to 662,586 and 882,779

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Solution

The third proportional to 662,586 and 882,779 is: 1,176,147.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,586 : 882,779 = 882,779 : x
  2. Step 2: Convert to fraction form
    662,586/882,779 = 882,779/x
  3. Step 3: Cross multiply
    662,586x = 882,779 × 882,779
  4. Step 4: Simplify right side
    662,586x = 779,298,762,841
  5. Step 5: Solve for x
    x = 779,298,762,841/662,586
  6. Step 6: Final answer
    x = 1,176,147.34

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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.