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Finding the Third Proportional to 2,037,328 and 4,242,086

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Solution

The third proportional to 2,037,328 and 4,242,086 is: 8,832,791.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037,328 : 4,242,086 = 4,242,086 : x
  2. Step 2: Convert to fraction form
    2,037,328/4,242,086 = 4,242,086/x
  3. Step 3: Cross multiply
    2,037,328x = 4,242,086 × 4,242,086
  4. Step 4: Simplify right side
    2,037,328x = 17,995,293,631,396
  5. Step 5: Solve for x
    x = 17,995,293,631,396/2,037,328
  6. Step 6: Final answer
    x = 8,832,791.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.