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Finding the Third Proportional to 536,438 and 1,116,519

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Solution

The third proportional to 536,438 and 1,116,519 is: 2,323,874.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,438 : 1,116,519 = 1,116,519 : x
  2. Step 2: Convert to fraction form
    536,438/1,116,519 = 1,116,519/x
  3. Step 3: Cross multiply
    536,438x = 1,116,519 × 1,116,519
  4. Step 4: Simplify right side
    536,438x = 1,246,614,677,361
  5. Step 5: Solve for x
    x = 1,246,614,677,361/536,438
  6. Step 6: Final answer
    x = 2,323,874.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.