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Finding the Third Proportional to 543,841 and 1,166,414

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Solution

The third proportional to 543,841 and 1,166,414 is: 2,501,690.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,841 : 1,166,414 = 1,166,414 : x
  2. Step 2: Convert to fraction form
    543,841/1,166,414 = 1,166,414/x
  3. Step 3: Cross multiply
    543,841x = 1,166,414 × 1,166,414
  4. Step 4: Simplify right side
    543,841x = 1,360,521,619,396
  5. Step 5: Solve for x
    x = 1,360,521,619,396/543,841
  6. Step 6: Final answer
    x = 2,501,690.05

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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.