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Finding the Third Proportional to 749,190 and 1,651,086

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Solution

The third proportional to 749,190 and 1,651,086 is: 3,638,709.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,190 : 1,651,086 = 1,651,086 : x
  2. Step 2: Convert to fraction form
    749,190/1,651,086 = 1,651,086/x
  3. Step 3: Cross multiply
    749,190x = 1,651,086 × 1,651,086
  4. Step 4: Simplify right side
    749,190x = 2,726,084,979,396
  5. Step 5: Solve for x
    x = 2,726,084,979,396/749,190
  6. Step 6: Final answer
    x = 3,638,709.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.