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Finding the Third Proportional to 828,084 and 1,774,206

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Solution

The third proportional to 828,084 and 1,774,206 is: 3,801,313.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,084 : 1,774,206 = 1,774,206 : x
  2. Step 2: Convert to fraction form
    828,084/1,774,206 = 1,774,206/x
  3. Step 3: Cross multiply
    828,084x = 1,774,206 × 1,774,206
  4. Step 4: Simplify right side
    828,084x = 3,147,806,930,436
  5. Step 5: Solve for x
    x = 3,147,806,930,436/828,084
  6. Step 6: Final answer
    x = 3,801,313.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.