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Finding the Third Proportional to 1,180,416 and 2,532,876

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Solution

The third proportional to 1,180,416 and 2,532,876 is: 5,434,915.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180,416 : 2,532,876 = 2,532,876 : x
  2. Step 2: Convert to fraction form
    1,180,416/2,532,876 = 2,532,876/x
  3. Step 3: Cross multiply
    1,180,416x = 2,532,876 × 2,532,876
  4. Step 4: Simplify right side
    1,180,416x = 6,415,460,831,376
  5. Step 5: Solve for x
    x = 6,415,460,831,376/1,180,416
  6. Step 6: Final answer
    x = 5,434,915.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.