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Finding the Third Proportional to 547,969 and 859,817

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Solution

The third proportional to 547,969 and 859,817 is: 1,349,137.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,969 : 859,817 = 859,817 : x
  2. Step 2: Convert to fraction form
    547,969/859,817 = 859,817/x
  3. Step 3: Cross multiply
    547,969x = 859,817 × 859,817
  4. Step 4: Simplify right side
    547,969x = 739,285,273,489
  5. Step 5: Solve for x
    x = 739,285,273,489/547,969
  6. Step 6: Final answer
    x = 1,349,137.04

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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.