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Finding the Third Proportional to 584,064 and 853,922

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Solution

The third proportional to 584,064 and 853,922 is: 1,248,463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,064 : 853,922 = 853,922 : x
  2. Step 2: Convert to fraction form
    584,064/853,922 = 853,922/x
  3. Step 3: Cross multiply
    584,064x = 853,922 × 853,922
  4. Step 4: Simplify right side
    584,064x = 729,182,782,084
  5. Step 5: Solve for x
    x = 729,182,782,084/584,064
  6. Step 6: Final answer
    x = 1,248,463.84

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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.