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Finding the Third Proportional to 1,851,909.75 and 2,782,795.50

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Solution

The third proportional to 1,851,909.75 and 2,782,795.50 is: 4,181,602.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851,909.75 : 2,782,795.50 = 2,782,795.50 : x
  2. Step 2: Convert to fraction form
    1,851,909.75/2,782,795.50 = 2,782,795.50/x
  3. Step 3: Cross multiply
    1,851,909.75x = 2,782,795.50 × 2,782,795.50
  4. Step 4: Simplify right side
    1,851,909.75x = 7,743,950,794,820.25
  5. Step 5: Solve for x
    x = 7,743,950,794,820.25/1,851,909.75
  6. Step 6: Final answer
    x = 4,181,602.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.