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Finding the Third Proportional to 524,610 and 810,162

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Solution

The third proportional to 524,610 and 810,162 is: 1,251,143.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,610 : 810,162 = 810,162 : x
  2. Step 2: Convert to fraction form
    524,610/810,162 = 810,162/x
  3. Step 3: Cross multiply
    524,610x = 810,162 × 810,162
  4. Step 4: Simplify right side
    524,610x = 656,362,466,244
  5. Step 5: Solve for x
    x = 656,362,466,244/524,610
  6. Step 6: Final answer
    x = 1,251,143.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.