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Finding the Third Proportional to 2,068,932 and 3,211,014

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Solution

The third proportional to 2,068,932 and 3,211,014 is: 4,983,542.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068,932 : 3,211,014 = 3,211,014 : x
  2. Step 2: Convert to fraction form
    2,068,932/3,211,014 = 3,211,014/x
  3. Step 3: Cross multiply
    2,068,932x = 3,211,014 × 3,211,014
  4. Step 4: Simplify right side
    2,068,932x = 10,310,610,908,196
  5. Step 5: Solve for x
    x = 10,310,610,908,196/2,068,932
  6. Step 6: Final answer
    x = 4,983,542.67

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.