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Finding the Third Proportional to 481,785 and 1,071,288

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Solution

The third proportional to 481,785 and 1,071,288 is: 2,382,095.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,785 : 1,071,288 = 1,071,288 : x
  2. Step 2: Convert to fraction form
    481,785/1,071,288 = 1,071,288/x
  3. Step 3: Cross multiply
    481,785x = 1,071,288 × 1,071,288
  4. Step 4: Simplify right side
    481,785x = 1,147,657,978,944
  5. Step 5: Solve for x
    x = 1,147,657,978,944/481,785
  6. Step 6: Final answer
    x = 2,382,095.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.