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Finding the Third Proportional to 800,779.50 and 1,738,226.25

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Solution

The third proportional to 800,779.50 and 1,738,226.25 is: 3,773,111.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,779.50 : 1,738,226.25 = 1,738,226.25 : x
  2. Step 2: Convert to fraction form
    800,779.50/1,738,226.25 = 1,738,226.25/x
  3. Step 3: Cross multiply
    800,779.50x = 1,738,226.25 × 1,738,226.25
  4. Step 4: Simplify right side
    800,779.50x = 3,021,430,496,189.06
  5. Step 5: Solve for x
    x = 3,021,430,496,189.06/800,779.50
  6. Step 6: Final answer
    x = 3,773,111.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.