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Finding the Third Proportional to 422,046 and 996,291

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Solution

The third proportional to 422,046 and 996,291 is: 2,351,866.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,046 : 996,291 = 996,291 : x
  2. Step 2: Convert to fraction form
    422,046/996,291 = 996,291/x
  3. Step 3: Cross multiply
    422,046x = 996,291 × 996,291
  4. Step 4: Simplify right side
    422,046x = 992,595,756,681
  5. Step 5: Solve for x
    x = 992,595,756,681/422,046
  6. Step 6: Final answer
    x = 2,351,866.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.