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Finding the Third Proportional to 1,058,900.98 and 2,180,473.17

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Solution

The third proportional to 1,058,900.98 and 2,180,473.17 is: 4,489,997.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058,900.98 : 2,180,473.17 = 2,180,473.17 : x
  2. Step 2: Convert to fraction form
    1,058,900.98/2,180,473.17 = 2,180,473.17/x
  3. Step 3: Cross multiply
    1,058,900.98x = 2,180,473.17 × 2,180,473.17
  4. Step 4: Simplify right side
    1,058,900.98x = 4,754,463,253,266.62
  5. Step 5: Solve for x
    x = 4,754,463,253,266.62/1,058,900.98
  6. Step 6: Final answer
    x = 4,489,997.99

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.