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Finding the Third Proportional to 633,294 and 946,782

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Solution

The third proportional to 633,294 and 946,782 is: 1,415,450.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,294 : 946,782 = 946,782 : x
  2. Step 2: Convert to fraction form
    633,294/946,782 = 946,782/x
  3. Step 3: Cross multiply
    633,294x = 946,782 × 946,782
  4. Step 4: Simplify right side
    633,294x = 896,396,155,524
  5. Step 5: Solve for x
    x = 896,396,155,524/633,294
  6. Step 6: Final answer
    x = 1,415,450.26

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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.