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Finding the Third Proportional to 1,353,199.50 and 2,818,350

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Solution

The third proportional to 1,353,199.50 and 2,818,350 is: 5,869,863.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353,199.50 : 2,818,350 = 2,818,350 : x
  2. Step 2: Convert to fraction form
    1,353,199.50/2,818,350 = 2,818,350/x
  3. Step 3: Cross multiply
    1,353,199.50x = 2,818,350 × 2,818,350
  4. Step 4: Simplify right side
    1,353,199.50x = 7,943,096,722,500
  5. Step 5: Solve for x
    x = 7,943,096,722,500/1,353,199.50
  6. Step 6: Final answer
    x = 5,869,863.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.