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Finding the Third Proportional to 2,003,143.50 and 4,244,649

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Solution

The third proportional to 2,003,143.50 and 4,244,649 is: 8,994,385.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003,143.50 : 4,244,649 = 4,244,649 : x
  2. Step 2: Convert to fraction form
    2,003,143.50/4,244,649 = 4,244,649/x
  3. Step 3: Cross multiply
    2,003,143.50x = 4,244,649 × 4,244,649
  4. Step 4: Simplify right side
    2,003,143.50x = 18,017,045,133,201
  5. Step 5: Solve for x
    x = 18,017,045,133,201/2,003,143.50
  6. Step 6: Final answer
    x = 8,994,385.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.