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Finding the Third Proportional to 1,041,027.75 and 2,507,877.84

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Solution

The third proportional to 1,041,027.75 and 2,507,877.84 is: 6,041,578.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041,027.75 : 2,507,877.84 = 2,507,877.84 : x
  2. Step 2: Convert to fraction form
    1,041,027.75/2,507,877.84 = 2,507,877.84/x
  3. Step 3: Cross multiply
    1,041,027.75x = 2,507,877.84 × 2,507,877.84
  4. Step 4: Simplify right side
    1,041,027.75x = 6,289,451,279,172.15
  5. Step 5: Solve for x
    x = 6,289,451,279,172.15/1,041,027.75
  6. Step 6: Final answer
    x = 6,041,578.89

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.