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Finding the Third Proportional to 543,842 and 1,166,416

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Solution

The third proportional to 543,842 and 1,166,416 is: 2,501,694.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,842 : 1,166,416 = 1,166,416 : x
  2. Step 2: Convert to fraction form
    543,842/1,166,416 = 1,166,416/x
  3. Step 3: Cross multiply
    543,842x = 1,166,416 × 1,166,416
  4. Step 4: Simplify right side
    543,842x = 1,360,526,285,056
  5. Step 5: Solve for x
    x = 1,360,526,285,056/543,842
  6. Step 6: Final answer
    x = 2,501,694.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.