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Finding the Third Proportional to 702,450 and 1,492,398

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Solution

The third proportional to 702,450 and 1,492,398 is: 3,170,690.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,450 : 1,492,398 = 1,492,398 : x
  2. Step 2: Convert to fraction form
    702,450/1,492,398 = 1,492,398/x
  3. Step 3: Cross multiply
    702,450x = 1,492,398 × 1,492,398
  4. Step 4: Simplify right side
    702,450x = 2,227,251,790,404
  5. Step 5: Solve for x
    x = 2,227,251,790,404/702,450
  6. Step 6: Final answer
    x = 3,170,690.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.