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Finding the Third Proportional to 2,298,568 and 3,637,884

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Solution

The third proportional to 2,298,568 and 3,637,884 is: 5,757,584.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298,568 : 3,637,884 = 3,637,884 : x
  2. Step 2: Convert to fraction form
    2,298,568/3,637,884 = 3,637,884/x
  3. Step 3: Cross multiply
    2,298,568x = 3,637,884 × 3,637,884
  4. Step 4: Simplify right side
    2,298,568x = 13,234,199,997,456
  5. Step 5: Solve for x
    x = 13,234,199,997,456/2,298,568
  6. Step 6: Final answer
    x = 5,757,584.72

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.