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Finding the Third Proportional to 445,880 and 970,492

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Solution

The third proportional to 445,880 and 970,492 is: 2,112,350.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,880 : 970,492 = 970,492 : x
  2. Step 2: Convert to fraction form
    445,880/970,492 = 970,492/x
  3. Step 3: Cross multiply
    445,880x = 970,492 × 970,492
  4. Step 4: Simplify right side
    445,880x = 941,854,722,064
  5. Step 5: Solve for x
    x = 941,854,722,064/445,880
  6. Step 6: Final answer
    x = 2,112,350.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.