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Finding the Third Proportional to 561,804 and 1,238,130

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Solution

The third proportional to 561,804 and 1,238,130 is: 2,728,648.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,804 : 1,238,130 = 1,238,130 : x
  2. Step 2: Convert to fraction form
    561,804/1,238,130 = 1,238,130/x
  3. Step 3: Cross multiply
    561,804x = 1,238,130 × 1,238,130
  4. Step 4: Simplify right side
    561,804x = 1,532,965,896,900
  5. Step 5: Solve for x
    x = 1,532,965,896,900/561,804
  6. Step 6: Final answer
    x = 2,728,648.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.