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Finding the Third Proportional to 2,058,700.50 and 4,536,225

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Solution

The third proportional to 2,058,700.50 and 4,536,225 is: 9,995,303.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058,700.50 : 4,536,225 = 4,536,225 : x
  2. Step 2: Convert to fraction form
    2,058,700.50/4,536,225 = 4,536,225/x
  3. Step 3: Cross multiply
    2,058,700.50x = 4,536,225 × 4,536,225
  4. Step 4: Simplify right side
    2,058,700.50x = 20,577,337,250,625
  5. Step 5: Solve for x
    x = 20,577,337,250,625/2,058,700.50
  6. Step 6: Final answer
    x = 9,995,303.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.