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Finding the Third Proportional to 2,584,270 and 3,851,195

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Solution

The third proportional to 2,584,270 and 3,851,195 is: 5,739,223.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584,270 : 3,851,195 = 3,851,195 : x
  2. Step 2: Convert to fraction form
    2,584,270/3,851,195 = 3,851,195/x
  3. Step 3: Cross multiply
    2,584,270x = 3,851,195 × 3,851,195
  4. Step 4: Simplify right side
    2,584,270x = 14,831,702,928,025
  5. Step 5: Solve for x
    x = 14,831,702,928,025/2,584,270
  6. Step 6: Final answer
    x = 5,739,223.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.