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Finding the Third Proportional to 2,058,673 and 4,471,738

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Solution

The third proportional to 2,058,673 and 4,471,738 is: 9,713,267.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058,673 : 4,471,738 = 4,471,738 : x
  2. Step 2: Convert to fraction form
    2,058,673/4,471,738 = 4,471,738/x
  3. Step 3: Cross multiply
    2,058,673x = 4,471,738 × 4,471,738
  4. Step 4: Simplify right side
    2,058,673x = 19,996,440,740,644
  5. Step 5: Solve for x
    x = 19,996,440,740,644/2,058,673
  6. Step 6: Final answer
    x = 9,713,267.11

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Why These Related Problems?

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