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Finding the Third Proportional to 547,972 and 859,823

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Solution

The third proportional to 547,972 and 859,823 is: 1,349,148.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,972 : 859,823 = 859,823 : x
  2. Step 2: Convert to fraction form
    547,972/859,823 = 859,823/x
  3. Step 3: Cross multiply
    547,972x = 859,823 × 859,823
  4. Step 4: Simplify right side
    547,972x = 739,295,591,329
  5. Step 5: Solve for x
    x = 739,295,591,329/547,972
  6. Step 6: Final answer
    x = 1,349,148.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.