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Finding the Third Proportional to 566,885 and 1,233,412

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Solution

The third proportional to 566,885 and 1,233,412 is: 2,683,622.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,885 : 1,233,412 = 1,233,412 : x
  2. Step 2: Convert to fraction form
    566,885/1,233,412 = 1,233,412/x
  3. Step 3: Cross multiply
    566,885x = 1,233,412 × 1,233,412
  4. Step 4: Simplify right side
    566,885x = 1,521,305,161,744
  5. Step 5: Solve for x
    x = 1,521,305,161,744/566,885
  6. Step 6: Final answer
    x = 2,683,622.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.