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Finding the Third Proportional to 481,789 and 1,071,296

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Solution

The third proportional to 481,789 and 1,071,296 is: 2,382,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,789 : 1,071,296 = 1,071,296 : x
  2. Step 2: Convert to fraction form
    481,789/1,071,296 = 1,071,296/x
  3. Step 3: Cross multiply
    481,789x = 1,071,296 × 1,071,296
  4. Step 4: Simplify right side
    481,789x = 1,147,675,119,616
  5. Step 5: Solve for x
    x = 1,147,675,119,616/481,789
  6. Step 6: Final answer
    x = 2,382,111.50

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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.