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Finding the Third Proportional to 2,859,439.50 and 4,457,965.50

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Solution

The third proportional to 2,859,439.50 and 4,457,965.50 is: 6,950,123.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859,439.50 : 4,457,965.50 = 4,457,965.50 : x
  2. Step 2: Convert to fraction form
    2,859,439.50/4,457,965.50 = 4,457,965.50/x
  3. Step 3: Cross multiply
    2,859,439.50x = 4,457,965.50 × 4,457,965.50
  4. Step 4: Simplify right side
    2,859,439.50x = 19,873,456,399,190.25
  5. Step 5: Solve for x
    x = 19,873,456,399,190.25/2,859,439.50
  6. Step 6: Final answer
    x = 6,950,123.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.