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Finding the Third Proportional to 768,577.50 and 1,650,879

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Solution

The third proportional to 768,577.50 and 1,650,879 is: 3,546,033.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,577.50 : 1,650,879 = 1,650,879 : x
  2. Step 2: Convert to fraction form
    768,577.50/1,650,879 = 1,650,879/x
  3. Step 3: Cross multiply
    768,577.50x = 1,650,879 × 1,650,879
  4. Step 4: Simplify right side
    768,577.50x = 2,725,401,472,641
  5. Step 5: Solve for x
    x = 2,725,401,472,641/768,577.50
  6. Step 6: Final answer
    x = 3,546,033.38

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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.