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Finding the Third Proportional to 702,616.50 and 1,511,797.78

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Solution

The third proportional to 702,616.50 and 1,511,797.78 is: 3,252,887.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,616.50 : 1,511,797.78 = 1,511,797.78 : x
  2. Step 2: Convert to fraction form
    702,616.50/1,511,797.78 = 1,511,797.78/x
  3. Step 3: Cross multiply
    702,616.50x = 1,511,797.78 × 1,511,797.78
  4. Step 4: Simplify right side
    702,616.50x = 2,285,532,531,392.42
  5. Step 5: Solve for x
    x = 2,285,532,531,392.42/702,616.50
  6. Step 6: Final answer
    x = 3,252,887.64

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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.