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Finding the Third Proportional to 571,058.72 and 1,269,769.64

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Solution

The third proportional to 571,058.72 and 1,269,769.64 is: 2,823,378.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,058.72 : 1,269,769.64 = 1,269,769.64 : x
  2. Step 2: Convert to fraction form
    571,058.72/1,269,769.64 = 1,269,769.64/x
  3. Step 3: Cross multiply
    571,058.72x = 1,269,769.64 × 1,269,769.64
  4. Step 4: Simplify right side
    571,058.72x = 1,612,314,940,252.94
  5. Step 5: Solve for x
    x = 1,612,314,940,252.94/571,058.72
  6. Step 6: Final answer
    x = 2,823,378.56

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.