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Finding the Third Proportional to 1,050,081 and 2,290,217.25

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Solution

The third proportional to 1,050,081 and 2,290,217.25 is: 4,994,943.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050,081 : 2,290,217.25 = 2,290,217.25 : x
  2. Step 2: Convert to fraction form
    1,050,081/2,290,217.25 = 2,290,217.25/x
  3. Step 3: Cross multiply
    1,050,081x = 2,290,217.25 × 2,290,217.25
  4. Step 4: Simplify right side
    1,050,081x = 5,245,095,052,197.56
  5. Step 5: Solve for x
    x = 5,245,095,052,197.56/1,050,081
  6. Step 6: Final answer
    x = 4,994,943.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.