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Finding the Third Proportional to 2,486,869.50 and 3,840,195

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Solution

The third proportional to 2,486,869.50 and 3,840,195 is: 5,929,984.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486,869.50 : 3,840,195 = 3,840,195 : x
  2. Step 2: Convert to fraction form
    2,486,869.50/3,840,195 = 3,840,195/x
  3. Step 3: Cross multiply
    2,486,869.50x = 3,840,195 × 3,840,195
  4. Step 4: Simplify right side
    2,486,869.50x = 14,747,097,638,025
  5. Step 5: Solve for x
    x = 14,747,097,638,025/2,486,869.50
  6. Step 6: Final answer
    x = 5,929,984.52

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Why These Related Problems?

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