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Finding the Third Proportional to 816,210 and 1,772,204

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Solution

The third proportional to 816,210 and 1,772,204 is: 3,847,915.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,210 : 1,772,204 = 1,772,204 : x
  2. Step 2: Convert to fraction form
    816,210/1,772,204 = 1,772,204/x
  3. Step 3: Cross multiply
    816,210x = 1,772,204 × 1,772,204
  4. Step 4: Simplify right side
    816,210x = 3,140,707,017,616
  5. Step 5: Solve for x
    x = 3,140,707,017,616/816,210
  6. Step 6: Final answer
    x = 3,847,915.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.