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Finding the Third Proportional to 481,788 and 1,017,840

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Solution

The third proportional to 481,788 and 1,017,840 is: 2,150,319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,788 : 1,017,840 = 1,017,840 : x
  2. Step 2: Convert to fraction form
    481,788/1,017,840 = 1,017,840/x
  3. Step 3: Cross multiply
    481,788x = 1,017,840 × 1,017,840
  4. Step 4: Simplify right side
    481,788x = 1,035,998,265,600
  5. Step 5: Solve for x
    x = 1,035,998,265,600/481,788
  6. Step 6: Final answer
    x = 2,150,319.78

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.