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Finding the Third Proportional to 2,782,512 and 4,180,410

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Solution

The third proportional to 2,782,512 and 4,180,410 is: 6,280,593.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782,512 : 4,180,410 = 4,180,410 : x
  2. Step 2: Convert to fraction form
    2,782,512/4,180,410 = 4,180,410/x
  3. Step 3: Cross multiply
    2,782,512x = 4,180,410 × 4,180,410
  4. Step 4: Simplify right side
    2,782,512x = 17,475,827,768,100
  5. Step 5: Solve for x
    x = 17,475,827,768,100/2,782,512
  6. Step 6: Final answer
    x = 6,280,593.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.