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Finding the Third Proportional to 787,049 and 1,215,360

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Solution

The third proportional to 787,049 and 1,215,360 is: 1,876,757.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,049 : 1,215,360 = 1,215,360 : x
  2. Step 2: Convert to fraction form
    787,049/1,215,360 = 1,215,360/x
  3. Step 3: Cross multiply
    787,049x = 1,215,360 × 1,215,360
  4. Step 4: Simplify right side
    787,049x = 1,477,099,929,600
  5. Step 5: Solve for x
    x = 1,477,099,929,600/787,049
  6. Step 6: Final answer
    x = 1,876,757.27

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.