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Finding the Third Proportional to 828,801.75 and 1,246,278.38

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Solution

The third proportional to 828,801.75 and 1,246,278.38 is: 1,874,042.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,801.75 : 1,246,278.38 = 1,246,278.38 : x
  2. Step 2: Convert to fraction form
    828,801.75/1,246,278.38 = 1,246,278.38/x
  3. Step 3: Cross multiply
    828,801.75x = 1,246,278.38 × 1,246,278.38
  4. Step 4: Simplify right side
    828,801.75x = 1,553,209,787,992.64
  5. Step 5: Solve for x
    x = 1,553,209,787,992.64/828,801.75
  6. Step 6: Final answer
    x = 1,874,042.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.