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Finding the Third Proportional to 733,336 and 1,166,896

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Solution

The third proportional to 733,336 and 1,166,896 is: 1,856,783.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,336 : 1,166,896 = 1,166,896 : x
  2. Step 2: Convert to fraction form
    733,336/1,166,896 = 1,166,896/x
  3. Step 3: Cross multiply
    733,336x = 1,166,896 × 1,166,896
  4. Step 4: Simplify right side
    733,336x = 1,361,646,274,816
  5. Step 5: Solve for x
    x = 1,361,646,274,816/733,336
  6. Step 6: Final answer
    x = 1,856,783.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.