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Finding the Third Proportional to 442,044.84 and 966,843.84

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Solution

The third proportional to 442,044.84 and 966,843.84 is: 2,114,688.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,044.84 : 966,843.84 = 966,843.84 : x
  2. Step 2: Convert to fraction form
    442,044.84/966,843.84 = 966,843.84/x
  3. Step 3: Cross multiply
    442,044.84x = 966,843.84 × 966,843.84
  4. Step 4: Simplify right side
    442,044.84x = 934,787,018,197.27
  5. Step 5: Solve for x
    x = 934,787,018,197.27/442,044.84
  6. Step 6: Final answer
    x = 2,114,688.21

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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.