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Finding the Third Proportional to 571,966 and 1,219,928

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Solution

The third proportional to 571,966 and 1,219,928 is: 2,601,945.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,966 : 1,219,928 = 1,219,928 : x
  2. Step 2: Convert to fraction form
    571,966/1,219,928 = 1,219,928/x
  3. Step 3: Cross multiply
    571,966x = 1,219,928 × 1,219,928
  4. Step 4: Simplify right side
    571,966x = 1,488,224,325,184
  5. Step 5: Solve for x
    x = 1,488,224,325,184/571,966
  6. Step 6: Final answer
    x = 2,601,945.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.