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Finding the Third Proportional to 526,416 and 1,157,760

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Solution

The third proportional to 526,416 and 1,157,760 is: 2,546,290.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,416 : 1,157,760 = 1,157,760 : x
  2. Step 2: Convert to fraction form
    526,416/1,157,760 = 1,157,760/x
  3. Step 3: Cross multiply
    526,416x = 1,157,760 × 1,157,760
  4. Step 4: Simplify right side
    526,416x = 1,340,408,217,600
  5. Step 5: Solve for x
    x = 1,340,408,217,600/526,416
  6. Step 6: Final answer
    x = 2,546,290.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.