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Finding the Third Proportional to 554,214 and 892,522

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Solution

The third proportional to 554,214 and 892,522 is: 1,437,342.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,214 : 892,522 = 892,522 : x
  2. Step 2: Convert to fraction form
    554,214/892,522 = 892,522/x
  3. Step 3: Cross multiply
    554,214x = 892,522 × 892,522
  4. Step 4: Simplify right side
    554,214x = 796,595,520,484
  5. Step 5: Solve for x
    x = 796,595,520,484/554,214
  6. Step 6: Final answer
    x = 1,437,342.83

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.