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Finding the Third Proportional to 411,748.31 and 892,226.81

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Solution

The third proportional to 411,748.31 and 892,226.81 is: 1,933,386.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,748.31 : 892,226.81 = 892,226.81 : x
  2. Step 2: Convert to fraction form
    411,748.31/892,226.81 = 892,226.81/x
  3. Step 3: Cross multiply
    411,748.31x = 892,226.81 × 892,226.81
  4. Step 4: Simplify right side
    411,748.31x = 796,068,684,943.91
  5. Step 5: Solve for x
    x = 796,068,684,943.91/411,748.31
  6. Step 6: Final answer
    x = 1,933,386.64

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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.