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Finding the Third Proportional to 833,357 and 1,179,965.50

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Solution

The third proportional to 833,357 and 1,179,965.50 is: 1,670,734.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,357 : 1,179,965.50 = 1,179,965.50 : x
  2. Step 2: Convert to fraction form
    833,357/1,179,965.50 = 1,179,965.50/x
  3. Step 3: Cross multiply
    833,357x = 1,179,965.50 × 1,179,965.50
  4. Step 4: Simplify right side
    833,357x = 1,392,318,581,190.25
  5. Step 5: Solve for x
    x = 1,392,318,581,190.25/833,357
  6. Step 6: Final answer
    x = 1,670,734.85

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.