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Finding the Third Proportional to 633,332 and 946,836

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Solution

The third proportional to 633,332 and 946,836 is: 1,415,526.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,332 : 946,836 = 946,836 : x
  2. Step 2: Convert to fraction form
    633,332/946,836 = 946,836/x
  3. Step 3: Cross multiply
    633,332x = 946,836 × 946,836
  4. Step 4: Simplify right side
    633,332x = 896,498,410,896
  5. Step 5: Solve for x
    x = 896,498,410,896/633,332
  6. Step 6: Final answer
    x = 1,415,526.79

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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.