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Finding the Third Proportional to 598,647.94 and 1,285,869.38

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Solution

The third proportional to 598,647.94 and 1,285,869.38 is: 2,761,990.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,647.94 : 1,285,869.38 = 1,285,869.38 : x
  2. Step 2: Convert to fraction form
    598,647.94/1,285,869.38 = 1,285,869.38/x
  3. Step 3: Cross multiply
    598,647.94x = 1,285,869.38 × 1,285,869.38
  4. Step 4: Simplify right side
    598,647.94x = 1,653,460,049,562.89
  5. Step 5: Solve for x
    x = 1,653,460,049,562.89/598,647.94
  6. Step 6: Final answer
    x = 2,761,990.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.