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Finding the Third Proportional to 702,048 and 1,100,172

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Solution

The third proportional to 702,048 and 1,100,172 is: 1,724,067.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,048 : 1,100,172 = 1,100,172 : x
  2. Step 2: Convert to fraction form
    702,048/1,100,172 = 1,100,172/x
  3. Step 3: Cross multiply
    702,048x = 1,100,172 × 1,100,172
  4. Step 4: Simplify right side
    702,048x = 1,210,378,429,584
  5. Step 5: Solve for x
    x = 1,210,378,429,584/702,048
  6. Step 6: Final answer
    x = 1,724,067.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.