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Finding the Third Proportional to 565,986 and 1,233,060

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Solution

The third proportional to 565,986 and 1,233,060 is: 2,686,350.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,986 : 1,233,060 = 1,233,060 : x
  2. Step 2: Convert to fraction form
    565,986/1,233,060 = 1,233,060/x
  3. Step 3: Cross multiply
    565,986x = 1,233,060 × 1,233,060
  4. Step 4: Simplify right side
    565,986x = 1,520,436,963,600
  5. Step 5: Solve for x
    x = 1,520,436,963,600/565,986
  6. Step 6: Final answer
    x = 2,686,350.83

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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.