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Finding the Third Proportional to 1,705,704 and 3,532,176

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Solution

The third proportional to 1,705,704 and 3,532,176 is: 7,314,438.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705,704 : 3,532,176 = 3,532,176 : x
  2. Step 2: Convert to fraction form
    1,705,704/3,532,176 = 3,532,176/x
  3. Step 3: Cross multiply
    1,705,704x = 3,532,176 × 3,532,176
  4. Step 4: Simplify right side
    1,705,704x = 12,476,267,294,976
  5. Step 5: Solve for x
    x = 12,476,267,294,976/1,705,704
  6. Step 6: Final answer
    x = 7,314,438.67

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.