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Finding the Third Proportional to 436,862 and 934,458

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Solution

The third proportional to 436,862 and 934,458 is: 1,998,827.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,862 : 934,458 = 934,458 : x
  2. Step 2: Convert to fraction form
    436,862/934,458 = 934,458/x
  3. Step 3: Cross multiply
    436,862x = 934,458 × 934,458
  4. Step 4: Simplify right side
    436,862x = 873,211,753,764
  5. Step 5: Solve for x
    x = 873,211,753,764/436,862
  6. Step 6: Final answer
    x = 1,998,827.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.