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Finding the Third Proportional to 424,980 and 928,800

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Solution

The third proportional to 424,980 and 928,800 is: 2,029,905.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,980 : 928,800 = 928,800 : x
  2. Step 2: Convert to fraction form
    424,980/928,800 = 928,800/x
  3. Step 3: Cross multiply
    424,980x = 928,800 × 928,800
  4. Step 4: Simplify right side
    424,980x = 862,669,440,000
  5. Step 5: Solve for x
    x = 862,669,440,000/424,980
  6. Step 6: Final answer
    x = 2,029,905.97

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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.