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Finding the Third Proportional to 441,156 and 966,328

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Solution

The third proportional to 441,156 and 966,328 is: 2,116,688.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,156 : 966,328 = 966,328 : x
  2. Step 2: Convert to fraction form
    441,156/966,328 = 966,328/x
  3. Step 3: Cross multiply
    441,156x = 966,328 × 966,328
  4. Step 4: Simplify right side
    441,156x = 933,789,803,584
  5. Step 5: Solve for x
    x = 933,789,803,584/441,156
  6. Step 6: Final answer
    x = 2,116,688.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.