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Finding the Third Proportional to 2,606,782.50 and 5,451,914.25

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Solution

The third proportional to 2,606,782.50 and 5,451,914.25 is: 11,402,320.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606,782.50 : 5,451,914.25 = 5,451,914.25 : x
  2. Step 2: Convert to fraction form
    2,606,782.50/5,451,914.25 = 5,451,914.25/x
  3. Step 3: Cross multiply
    2,606,782.50x = 5,451,914.25 × 5,451,914.25
  4. Step 4: Simplify right side
    2,606,782.50x = 29,723,368,989,353.06
  5. Step 5: Solve for x
    x = 29,723,368,989,353.06/2,606,782.50
  6. Step 6: Final answer
    x = 11,402,320.29

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.