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Finding the Third Proportional to 2,058,675 and 4,471,742

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Solution

The third proportional to 2,058,675 and 4,471,742 is: 9,713,275.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058,675 : 4,471,742 = 4,471,742 : x
  2. Step 2: Convert to fraction form
    2,058,675/4,471,742 = 4,471,742/x
  3. Step 3: Cross multiply
    2,058,675x = 4,471,742 × 4,471,742
  4. Step 4: Simplify right side
    2,058,675x = 19,996,476,514,564
  5. Step 5: Solve for x
    x = 19,996,476,514,564/2,058,675
  6. Step 6: Final answer
    x = 9,713,275.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.