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Finding the Third Proportional to 700,848 and 1,494,880

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Solution

The third proportional to 700,848 and 1,494,880 is: 3,188,517.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,848 : 1,494,880 = 1,494,880 : x
  2. Step 2: Convert to fraction form
    700,848/1,494,880 = 1,494,880/x
  3. Step 3: Cross multiply
    700,848x = 1,494,880 × 1,494,880
  4. Step 4: Simplify right side
    700,848x = 2,234,666,214,400
  5. Step 5: Solve for x
    x = 2,234,666,214,400/700,848
  6. Step 6: Final answer
    x = 3,188,517.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.