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Finding the Third Proportional to 825,880 and 1,751,000

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Solution

The third proportional to 825,880 and 1,751,000 is: 3,712,404.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,880 : 1,751,000 = 1,751,000 : x
  2. Step 2: Convert to fraction form
    825,880/1,751,000 = 1,751,000/x
  3. Step 3: Cross multiply
    825,880x = 1,751,000 × 1,751,000
  4. Step 4: Simplify right side
    825,880x = 3,066,001,000,000
  5. Step 5: Solve for x
    x = 3,066,001,000,000/825,880
  6. Step 6: Final answer
    x = 3,712,404.95

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.