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Finding the Third Proportional to 543,496 and 1,111,184

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Solution

The third proportional to 543,496 and 1,111,184 is: 2,271,828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,496 : 1,111,184 = 1,111,184 : x
  2. Step 2: Convert to fraction form
    543,496/1,111,184 = 1,111,184/x
  3. Step 3: Cross multiply
    543,496x = 1,111,184 × 1,111,184
  4. Step 4: Simplify right side
    543,496x = 1,234,729,881,856
  5. Step 5: Solve for x
    x = 1,234,729,881,856/543,496
  6. Step 6: Final answer
    x = 2,271,828.83

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.