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Finding the Third Proportional to 543,857 and 1,166,446

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Solution

The third proportional to 543,857 and 1,166,446 is: 2,501,753.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,857 : 1,166,446 = 1,166,446 : x
  2. Step 2: Convert to fraction form
    543,857/1,166,446 = 1,166,446/x
  3. Step 3: Cross multiply
    543,857x = 1,166,446 × 1,166,446
  4. Step 4: Simplify right side
    543,857x = 1,360,596,270,916
  5. Step 5: Solve for x
    x = 1,360,596,270,916/543,857
  6. Step 6: Final answer
    x = 2,501,753.72

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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.