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Finding the Third Proportional to 362,805 and 847,206

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Solution

The third proportional to 362,805 and 847,206 is: 1,978,357.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,805 : 847,206 = 847,206 : x
  2. Step 2: Convert to fraction form
    362,805/847,206 = 847,206/x
  3. Step 3: Cross multiply
    362,805x = 847,206 × 847,206
  4. Step 4: Simplify right side
    362,805x = 717,758,006,436
  5. Step 5: Solve for x
    x = 717,758,006,436/362,805
  6. Step 6: Final answer
    x = 1,978,357.54

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.