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Finding the Third Proportional to 526,216 and 1,118,096

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Solution

The third proportional to 526,216 and 1,118,096 is: 2,375,713.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,216 : 1,118,096 = 1,118,096 : x
  2. Step 2: Convert to fraction form
    526,216/1,118,096 = 1,118,096/x
  3. Step 3: Cross multiply
    526,216x = 1,118,096 × 1,118,096
  4. Step 4: Simplify right side
    526,216x = 1,250,138,665,216
  5. Step 5: Solve for x
    x = 1,250,138,665,216/526,216
  6. Step 6: Final answer
    x = 2,375,713.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.