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Finding the Third Proportional to 526,452 and 847,818

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Solution

The third proportional to 526,452 and 847,818 is: 1,365,357.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,452 : 847,818 = 847,818 : x
  2. Step 2: Convert to fraction form
    526,452/847,818 = 847,818/x
  3. Step 3: Cross multiply
    526,452x = 847,818 × 847,818
  4. Step 4: Simplify right side
    526,452x = 718,795,361,124
  5. Step 5: Solve for x
    x = 718,795,361,124/526,452
  6. Step 6: Final answer
    x = 1,365,357.83

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.