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Finding the Third Proportional to 1,067,857 and 2,271,362

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Solution

The third proportional to 1,067,857 and 2,271,362 is: 4,831,251.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067,857 : 2,271,362 = 2,271,362 : x
  2. Step 2: Convert to fraction form
    1,067,857/2,271,362 = 2,271,362/x
  3. Step 3: Cross multiply
    1,067,857x = 2,271,362 × 2,271,362
  4. Step 4: Simplify right side
    1,067,857x = 5,159,085,335,044
  5. Step 5: Solve for x
    x = 5,159,085,335,044/1,067,857
  6. Step 6: Final answer
    x = 4,831,251.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.