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Finding the Third Proportional to 424,008 and 927,720

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Solution

The third proportional to 424,008 and 927,720 is: 2,029,830.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,008 : 927,720 = 927,720 : x
  2. Step 2: Convert to fraction form
    424,008/927,720 = 927,720/x
  3. Step 3: Cross multiply
    424,008x = 927,720 × 927,720
  4. Step 4: Simplify right side
    424,008x = 860,664,398,400
  5. Step 5: Solve for x
    x = 860,664,398,400/424,008
  6. Step 6: Final answer
    x = 2,029,830.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.