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Finding the Third Proportional to 564,322 and 1,206,296

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Solution

The third proportional to 564,322 and 1,206,296 is: 2,578,581.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,322 : 1,206,296 = 1,206,296 : x
  2. Step 2: Convert to fraction form
    564,322/1,206,296 = 1,206,296/x
  3. Step 3: Cross multiply
    564,322x = 1,206,296 × 1,206,296
  4. Step 4: Simplify right side
    564,322x = 1,455,150,039,616
  5. Step 5: Solve for x
    x = 1,455,150,039,616/564,322
  6. Step 6: Final answer
    x = 2,578,581.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.