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Finding the Third Proportional to 569,754 and 845,847

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Solution

The third proportional to 569,754 and 845,847 is: 1,255,729.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,754 : 845,847 = 845,847 : x
  2. Step 2: Convert to fraction form
    569,754/845,847 = 845,847/x
  3. Step 3: Cross multiply
    569,754x = 845,847 × 845,847
  4. Step 4: Simplify right side
    569,754x = 715,457,147,409
  5. Step 5: Solve for x
    x = 715,457,147,409/569,754
  6. Step 6: Final answer
    x = 1,255,729.92

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.