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Finding the Third Proportional to 524,788 and 1,086,915

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Solution

The third proportional to 524,788 and 1,086,915 is: 2,251,164.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,788 : 1,086,915 = 1,086,915 : x
  2. Step 2: Convert to fraction form
    524,788/1,086,915 = 1,086,915/x
  3. Step 3: Cross multiply
    524,788x = 1,086,915 × 1,086,915
  4. Step 4: Simplify right side
    524,788x = 1,181,384,217,225
  5. Step 5: Solve for x
    x = 1,181,384,217,225/524,788
  6. Step 6: Final answer
    x = 2,251,164.69

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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.