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Finding the Third Proportional to 828,776.25 and 1,785,078

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Solution

The third proportional to 828,776.25 and 1,785,078 is: 3,844,829.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,776.25 : 1,785,078 = 1,785,078 : x
  2. Step 2: Convert to fraction form
    828,776.25/1,785,078 = 1,785,078/x
  3. Step 3: Cross multiply
    828,776.25x = 1,785,078 × 1,785,078
  4. Step 4: Simplify right side
    828,776.25x = 3,186,503,466,084
  5. Step 5: Solve for x
    x = 3,186,503,466,084/828,776.25
  6. Step 6: Final answer
    x = 3,844,829.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.