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Finding the Third Proportional to 633,319 and 946,815

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Solution

The third proportional to 633,319 and 946,815 is: 1,415,493.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,319 : 946,815 = 946,815 : x
  2. Step 2: Convert to fraction form
    633,319/946,815 = 946,815/x
  3. Step 3: Cross multiply
    633,319x = 946,815 × 946,815
  4. Step 4: Simplify right side
    633,319x = 896,458,644,225
  5. Step 5: Solve for x
    x = 896,458,644,225/633,319
  6. Step 6: Final answer
    x = 1,415,493.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.