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Finding the Third Proportional to 801,962 and 1,734,820

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Solution

The third proportional to 801,962 and 1,734,820 is: 3,752,796.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,962 : 1,734,820 = 1,734,820 : x
  2. Step 2: Convert to fraction form
    801,962/1,734,820 = 1,734,820/x
  3. Step 3: Cross multiply
    801,962x = 1,734,820 × 1,734,820
  4. Step 4: Simplify right side
    801,962x = 3,009,600,432,400
  5. Step 5: Solve for x
    x = 3,009,600,432,400/801,962
  6. Step 6: Final answer
    x = 3,752,796.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.