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Finding the Third Proportional to 566,694 and 1,233,078

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Solution

The third proportional to 566,694 and 1,233,078 is: 2,683,072.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,694 : 1,233,078 = 1,233,078 : x
  2. Step 2: Convert to fraction form
    566,694/1,233,078 = 1,233,078/x
  3. Step 3: Cross multiply
    566,694x = 1,233,078 × 1,233,078
  4. Step 4: Simplify right side
    566,694x = 1,520,481,354,084
  5. Step 5: Solve for x
    x = 1,520,481,354,084/566,694
  6. Step 6: Final answer
    x = 2,683,072.97

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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.