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Finding the Third Proportional to 814,176 and 1,763,880

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Solution

The third proportional to 814,176 and 1,763,880 is: 3,821,376.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,176 : 1,763,880 = 1,763,880 : x
  2. Step 2: Convert to fraction form
    814,176/1,763,880 = 1,763,880/x
  3. Step 3: Cross multiply
    814,176x = 1,763,880 × 1,763,880
  4. Step 4: Simplify right side
    814,176x = 3,111,272,654,400
  5. Step 5: Solve for x
    x = 3,111,272,654,400/814,176
  6. Step 6: Final answer
    x = 3,821,376.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.