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Finding the Third Proportional to 816,216 and 1,772,217

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Solution

The third proportional to 816,216 and 1,772,217 is: 3,847,943.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,216 : 1,772,217 = 1,772,217 : x
  2. Step 2: Convert to fraction form
    816,216/1,772,217 = 1,772,217/x
  3. Step 3: Cross multiply
    816,216x = 1,772,217 × 1,772,217
  4. Step 4: Simplify right side
    816,216x = 3,140,753,095,089
  5. Step 5: Solve for x
    x = 3,140,753,095,089/816,216
  6. Step 6: Final answer
    x = 3,847,943.55

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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.