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Finding the Third Proportional to 791,802 and 1,847,880

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Solution

The third proportional to 791,802 and 1,847,880 is: 4,312,518.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,802 : 1,847,880 = 1,847,880 : x
  2. Step 2: Convert to fraction form
    791,802/1,847,880 = 1,847,880/x
  3. Step 3: Cross multiply
    791,802x = 1,847,880 × 1,847,880
  4. Step 4: Simplify right side
    791,802x = 3,414,660,494,400
  5. Step 5: Solve for x
    x = 3,414,660,494,400/791,802
  6. Step 6: Final answer
    x = 4,312,518.15

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.