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Finding the Third Proportional to 543,864 and 1,184,498

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Solution

The third proportional to 543,864 and 1,184,498 is: 2,579,754.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,864 : 1,184,498 = 1,184,498 : x
  2. Step 2: Convert to fraction form
    543,864/1,184,498 = 1,184,498/x
  3. Step 3: Cross multiply
    543,864x = 1,184,498 × 1,184,498
  4. Step 4: Simplify right side
    543,864x = 1,403,035,512,004
  5. Step 5: Solve for x
    x = 1,403,035,512,004/543,864
  6. Step 6: Final answer
    x = 2,579,754.34

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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.