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Finding the Third Proportional to 3,779,199 and 5,738,782.50

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Solution

The third proportional to 3,779,199 and 5,738,782.50 is: 8,714,445.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779,199 : 5,738,782.50 = 5,738,782.50 : x
  2. Step 2: Convert to fraction form
    3,779,199/5,738,782.50 = 5,738,782.50/x
  3. Step 3: Cross multiply
    3,779,199x = 5,738,782.50 × 5,738,782.50
  4. Step 4: Simplify right side
    3,779,199x = 32,933,624,582,306.25
  5. Step 5: Solve for x
    x = 32,933,624,582,306.25/3,779,199
  6. Step 6: Final answer
    x = 8,714,445.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.