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Finding the Third Proportional to 505,991 and 1,087,022

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Solution

The third proportional to 505,991 and 1,087,022 is: 2,335,252.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,991 : 1,087,022 = 1,087,022 : x
  2. Step 2: Convert to fraction form
    505,991/1,087,022 = 1,087,022/x
  3. Step 3: Cross multiply
    505,991x = 1,087,022 × 1,087,022
  4. Step 4: Simplify right side
    505,991x = 1,181,616,828,484
  5. Step 5: Solve for x
    x = 1,181,616,828,484/505,991
  6. Step 6: Final answer
    x = 2,335,252.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.