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Finding the Third Proportional to 543,963 and 1,184,703

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Solution

The third proportional to 543,963 and 1,184,703 is: 2,580,177.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,963 : 1,184,703 = 1,184,703 : x
  2. Step 2: Convert to fraction form
    543,963/1,184,703 = 1,184,703/x
  3. Step 3: Cross multiply
    543,963x = 1,184,703 × 1,184,703
  4. Step 4: Simplify right side
    543,963x = 1,403,521,198,209
  5. Step 5: Solve for x
    x = 1,403,521,198,209/543,963
  6. Step 6: Final answer
    x = 2,580,177.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.