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Finding the Third Proportional to 2,885,724 and 4,058,716.50

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Solution

The third proportional to 2,885,724 and 4,058,716.50 is: 5,708,508.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885,724 : 4,058,716.50 = 4,058,716.50 : x
  2. Step 2: Convert to fraction form
    2,885,724/4,058,716.50 = 4,058,716.50/x
  3. Step 3: Cross multiply
    2,885,724x = 4,058,716.50 × 4,058,716.50
  4. Step 4: Simplify right side
    2,885,724x = 16,473,179,627,372.25
  5. Step 5: Solve for x
    x = 16,473,179,627,372.25/2,885,724
  6. Step 6: Final answer
    x = 5,708,508.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.