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Finding the Third Proportional to 1,049,058 and 2,251,017

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Solution

The third proportional to 1,049,058 and 2,251,017 is: 4,830,121.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,058 : 2,251,017 = 2,251,017 : x
  2. Step 2: Convert to fraction form
    1,049,058/2,251,017 = 2,251,017/x
  3. Step 3: Cross multiply
    1,049,058x = 2,251,017 × 2,251,017
  4. Step 4: Simplify right side
    1,049,058x = 5,067,077,534,289
  5. Step 5: Solve for x
    x = 5,067,077,534,289/1,049,058
  6. Step 6: Final answer
    x = 4,830,121.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.