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Finding the Third Proportional to 543,847 and 1,166,426

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Solution

The third proportional to 543,847 and 1,166,426 is: 2,501,713.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,847 : 1,166,426 = 1,166,426 : x
  2. Step 2: Convert to fraction form
    543,847/1,166,426 = 1,166,426/x
  3. Step 3: Cross multiply
    543,847x = 1,166,426 × 1,166,426
  4. Step 4: Simplify right side
    543,847x = 1,360,549,613,476
  5. Step 5: Solve for x
    x = 1,360,549,613,476/543,847
  6. Step 6: Final answer
    x = 2,501,713.93

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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.