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Finding the Third Proportional to 543,212 and 1,169,636

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Solution

The third proportional to 543,212 and 1,169,636 is: 2,518,442.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,212 : 1,169,636 = 1,169,636 : x
  2. Step 2: Convert to fraction form
    543,212/1,169,636 = 1,169,636/x
  3. Step 3: Cross multiply
    543,212x = 1,169,636 × 1,169,636
  4. Step 4: Simplify right side
    543,212x = 1,368,048,372,496
  5. Step 5: Solve for x
    x = 1,368,048,372,496/543,212
  6. Step 6: Final answer
    x = 2,518,442.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.