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Finding the Third Proportional to 2,289,744 and 3,364,600

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Solution

The third proportional to 2,289,744 and 3,364,600 is: 4,944,016.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289,744 : 3,364,600 = 3,364,600 : x
  2. Step 2: Convert to fraction form
    2,289,744/3,364,600 = 3,364,600/x
  3. Step 3: Cross multiply
    2,289,744x = 3,364,600 × 3,364,600
  4. Step 4: Simplify right side
    2,289,744x = 11,320,533,160,000
  5. Step 5: Solve for x
    x = 11,320,533,160,000/2,289,744
  6. Step 6: Final answer
    x = 4,944,016.96

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.