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Finding the Third Proportional to 602,928 and 1,324,224

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Solution

The third proportional to 602,928 and 1,324,224 is: 2,908,422.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,928 : 1,324,224 = 1,324,224 : x
  2. Step 2: Convert to fraction form
    602,928/1,324,224 = 1,324,224/x
  3. Step 3: Cross multiply
    602,928x = 1,324,224 × 1,324,224
  4. Step 4: Simplify right side
    602,928x = 1,753,569,202,176
  5. Step 5: Solve for x
    x = 1,753,569,202,176/602,928
  6. Step 6: Final answer
    x = 2,908,422.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.