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Finding the Third Proportional to 584,091 and 853,173

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Solution

The third proportional to 584,091 and 853,173 is: 1,246,217.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,091 : 853,173 = 853,173 : x
  2. Step 2: Convert to fraction form
    584,091/853,173 = 853,173/x
  3. Step 3: Cross multiply
    584,091x = 853,173 × 853,173
  4. Step 4: Simplify right side
    584,091x = 727,904,167,929
  5. Step 5: Solve for x
    x = 727,904,167,929/584,091
  6. Step 6: Final answer
    x = 1,246,217.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.