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Finding the Third Proportional to 814,880 and 1,223,856

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Solution

The third proportional to 814,880 and 1,223,856 is: 1,838,090.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,880 : 1,223,856 = 1,223,856 : x
  2. Step 2: Convert to fraction form
    814,880/1,223,856 = 1,223,856/x
  3. Step 3: Cross multiply
    814,880x = 1,223,856 × 1,223,856
  4. Step 4: Simplify right side
    814,880x = 1,497,823,508,736
  5. Step 5: Solve for x
    x = 1,497,823,508,736/814,880
  6. Step 6: Final answer
    x = 1,838,090.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.