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Finding the Third Proportional to 426,296 and 932,828

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Solution

The third proportional to 426,296 and 932,828 is: 2,041,229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,296 : 932,828 = 932,828 : x
  2. Step 2: Convert to fraction form
    426,296/932,828 = 932,828/x
  3. Step 3: Cross multiply
    426,296x = 932,828 × 932,828
  4. Step 4: Simplify right side
    426,296x = 870,168,077,584
  5. Step 5: Solve for x
    x = 870,168,077,584/426,296
  6. Step 6: Final answer
    x = 2,041,229.75

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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.