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Finding the Third Proportional to 802,224 and 1,064,880

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Solution

The third proportional to 802,224 and 1,064,880 is: 1,413,532.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,224 : 1,064,880 = 1,064,880 : x
  2. Step 2: Convert to fraction form
    802,224/1,064,880 = 1,064,880/x
  3. Step 3: Cross multiply
    802,224x = 1,064,880 × 1,064,880
  4. Step 4: Simplify right side
    802,224x = 1,133,969,414,400
  5. Step 5: Solve for x
    x = 1,133,969,414,400/802,224
  6. Step 6: Final answer
    x = 1,413,532.15

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.