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Finding the Third Proportional to 566,796 and 1,197,573

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Solution

The third proportional to 566,796 and 1,197,573 is: 2,530,330.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,796 : 1,197,573 = 1,197,573 : x
  2. Step 2: Convert to fraction form
    566,796/1,197,573 = 1,197,573/x
  3. Step 3: Cross multiply
    566,796x = 1,197,573 × 1,197,573
  4. Step 4: Simplify right side
    566,796x = 1,434,181,090,329
  5. Step 5: Solve for x
    x = 1,434,181,090,329/566,796
  6. Step 6: Final answer
    x = 2,530,330.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.