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Finding the Third Proportional to 816,508 and 1,773,226

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Solution

The third proportional to 816,508 and 1,773,226 is: 3,850,948.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,508 : 1,773,226 = 1,773,226 : x
  2. Step 2: Convert to fraction form
    816,508/1,773,226 = 1,773,226/x
  3. Step 3: Cross multiply
    816,508x = 1,773,226 × 1,773,226
  4. Step 4: Simplify right side
    816,508x = 3,144,330,447,076
  5. Step 5: Solve for x
    x = 3,144,330,447,076/816,508
  6. Step 6: Final answer
    x = 3,850,948.73

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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.