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Finding the Third Proportional to 820,250.30 and 1,771,356.09

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Solution

The third proportional to 820,250.30 and 1,771,356.09 is: 3,825,298.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,250.30 : 1,771,356.09 = 1,771,356.09 : x
  2. Step 2: Convert to fraction form
    820,250.30/1,771,356.09 = 1,771,356.09/x
  3. Step 3: Cross multiply
    820,250.30x = 1,771,356.09 × 1,771,356.09
  4. Step 4: Simplify right side
    820,250.30x = 3,137,702,410,865.26
  5. Step 5: Solve for x
    x = 3,137,702,410,865.26/820,250.30
  6. Step 6: Final answer
    x = 3,825,298.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.