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Finding the Third Proportional to 524,816 and 1,086,972

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Solution

The third proportional to 524,816 and 1,086,972 is: 2,251,280.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,816 : 1,086,972 = 1,086,972 : x
  2. Step 2: Convert to fraction form
    524,816/1,086,972 = 1,086,972/x
  3. Step 3: Cross multiply
    524,816x = 1,086,972 × 1,086,972
  4. Step 4: Simplify right side
    524,816x = 1,181,508,128,784
  5. Step 5: Solve for x
    x = 1,181,508,128,784/524,816
  6. Step 6: Final answer
    x = 2,251,280.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.