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Finding the Third Proportional to 543,410 and 1,191,796

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Solution

The third proportional to 543,410 and 1,191,796 is: 2,613,823.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,410 : 1,191,796 = 1,191,796 : x
  2. Step 2: Convert to fraction form
    543,410/1,191,796 = 1,191,796/x
  3. Step 3: Cross multiply
    543,410x = 1,191,796 × 1,191,796
  4. Step 4: Simplify right side
    543,410x = 1,420,377,705,616
  5. Step 5: Solve for x
    x = 1,420,377,705,616/543,410
  6. Step 6: Final answer
    x = 2,613,823.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.