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Finding the Third Proportional to 2,857,362 and 3,891,195

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Solution

The third proportional to 2,857,362 and 3,891,195 is: 5,299,083.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857,362 : 3,891,195 = 3,891,195 : x
  2. Step 2: Convert to fraction form
    2,857,362/3,891,195 = 3,891,195/x
  3. Step 3: Cross multiply
    2,857,362x = 3,891,195 × 3,891,195
  4. Step 4: Simplify right side
    2,857,362x = 15,141,398,528,025
  5. Step 5: Solve for x
    x = 15,141,398,528,025/2,857,362
  6. Step 6: Final answer
    x = 5,299,083.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.