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Finding the Third Proportional to 424,832 and 886,844

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Solution

The third proportional to 424,832 and 886,844 is: 1,851,301.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,832 : 886,844 = 886,844 : x
  2. Step 2: Convert to fraction form
    424,832/886,844 = 886,844/x
  3. Step 3: Cross multiply
    424,832x = 886,844 × 886,844
  4. Step 4: Simplify right side
    424,832x = 786,492,280,336
  5. Step 5: Solve for x
    x = 786,492,280,336/424,832
  6. Step 6: Final answer
    x = 1,851,301.88

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.