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Finding the Third Proportional to 584,069 and 853,929

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Solution

The third proportional to 584,069 and 853,929 is: 1,248,473.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,069 : 853,929 = 853,929 : x
  2. Step 2: Convert to fraction form
    584,069/853,929 = 853,929/x
  3. Step 3: Cross multiply
    584,069x = 853,929 × 853,929
  4. Step 4: Simplify right side
    584,069x = 729,194,737,041
  5. Step 5: Solve for x
    x = 729,194,737,041/584,069
  6. Step 6: Final answer
    x = 1,248,473.62

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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.