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Finding the Third Proportional to 439,512 and 947,280

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Solution

The third proportional to 439,512 and 947,280 is: 2,041,672.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,512 : 947,280 = 947,280 : x
  2. Step 2: Convert to fraction form
    439,512/947,280 = 947,280/x
  3. Step 3: Cross multiply
    439,512x = 947,280 × 947,280
  4. Step 4: Simplify right side
    439,512x = 897,339,398,400
  5. Step 5: Solve for x
    x = 897,339,398,400/439,512
  6. Step 6: Final answer
    x = 2,041,672.12

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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.