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Finding the Third Proportional to 770,391 and 1,855,939.50

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Solution

The third proportional to 770,391 and 1,855,939.50 is: 4,471,121.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,391 : 1,855,939.50 = 1,855,939.50 : x
  2. Step 2: Convert to fraction form
    770,391/1,855,939.50 = 1,855,939.50/x
  3. Step 3: Cross multiply
    770,391x = 1,855,939.50 × 1,855,939.50
  4. Step 4: Simplify right side
    770,391x = 3,444,511,427,660.25
  5. Step 5: Solve for x
    x = 3,444,511,427,660.25/770,391
  6. Step 6: Final answer
    x = 4,471,121.06

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.