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Finding the Third Proportional to 759,622 and 1,202,856

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Solution

The third proportional to 759,622 and 1,202,856 is: 1,904,713.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,622 : 1,202,856 = 1,202,856 : x
  2. Step 2: Convert to fraction form
    759,622/1,202,856 = 1,202,856/x
  3. Step 3: Cross multiply
    759,622x = 1,202,856 × 1,202,856
  4. Step 4: Simplify right side
    759,622x = 1,446,862,556,736
  5. Step 5: Solve for x
    x = 1,446,862,556,736/759,622
  6. Step 6: Final answer
    x = 1,904,713.87

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.