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Finding the Third Proportional to 2,322,199.50 and 3,586,842

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Solution

The third proportional to 2,322,199.50 and 3,586,842 is: 5,540,193.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322,199.50 : 3,586,842 = 3,586,842 : x
  2. Step 2: Convert to fraction form
    2,322,199.50/3,586,842 = 3,586,842/x
  3. Step 3: Cross multiply
    2,322,199.50x = 3,586,842 × 3,586,842
  4. Step 4: Simplify right side
    2,322,199.50x = 12,865,435,532,964
  5. Step 5: Solve for x
    x = 12,865,435,532,964/2,322,199.50
  6. Step 6: Final answer
    x = 5,540,193.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.