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Finding the Third Proportional to 969,478 and 2,073,740

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Solution

The third proportional to 969,478 and 2,073,740 is: 4,435,786.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,478 : 2,073,740 = 2,073,740 : x
  2. Step 2: Convert to fraction form
    969,478/2,073,740 = 2,073,740/x
  3. Step 3: Cross multiply
    969,478x = 2,073,740 × 2,073,740
  4. Step 4: Simplify right side
    969,478x = 4,300,397,587,600
  5. Step 5: Solve for x
    x = 4,300,397,587,600/969,478
  6. Step 6: Final answer
    x = 4,435,786.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.