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Finding the Third Proportional to 1,550,380.50 and 2,264,334.75

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Solution

The third proportional to 1,550,380.50 and 2,264,334.75 is: 3,307,066.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550,380.50 : 2,264,334.75 = 2,264,334.75 : x
  2. Step 2: Convert to fraction form
    1,550,380.50/2,264,334.75 = 2,264,334.75/x
  3. Step 3: Cross multiply
    1,550,380.50x = 2,264,334.75 × 2,264,334.75
  4. Step 4: Simplify right side
    1,550,380.50x = 5,127,211,860,057.56
  5. Step 5: Solve for x
    x = 5,127,211,860,057.56/1,550,380.50
  6. Step 6: Final answer
    x = 3,307,066.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.