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Finding the Third Proportional to 559,468 and 843,847

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Solution

The third proportional to 559,468 and 843,847 is: 1,272,776.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,468 : 843,847 = 843,847 : x
  2. Step 2: Convert to fraction form
    559,468/843,847 = 843,847/x
  3. Step 3: Cross multiply
    559,468x = 843,847 × 843,847
  4. Step 4: Simplify right side
    559,468x = 712,077,759,409
  5. Step 5: Solve for x
    x = 712,077,759,409/559,468
  6. Step 6: Final answer
    x = 1,272,776.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.