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Finding the Third Proportional to 552,746 and 853,551

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Solution

The third proportional to 552,746 and 853,551 is: 1,318,054.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,746 : 853,551 = 853,551 : x
  2. Step 2: Convert to fraction form
    552,746/853,551 = 853,551/x
  3. Step 3: Cross multiply
    552,746x = 853,551 × 853,551
  4. Step 4: Simplify right side
    552,746x = 728,549,309,601
  5. Step 5: Solve for x
    x = 728,549,309,601/552,746
  6. Step 6: Final answer
    x = 1,318,054.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.