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Finding the Third Proportional to 424,247 and 914,880

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Solution

The third proportional to 424,247 and 914,880 is: 1,972,920.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,247 : 914,880 = 914,880 : x
  2. Step 2: Convert to fraction form
    424,247/914,880 = 914,880/x
  3. Step 3: Cross multiply
    424,247x = 914,880 × 914,880
  4. Step 4: Simplify right side
    424,247x = 837,005,414,400
  5. Step 5: Solve for x
    x = 837,005,414,400/424,247
  6. Step 6: Final answer
    x = 1,972,920.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.