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Finding the Third Proportional to 442,966 and 971,736

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Solution

The third proportional to 442,966 and 971,736 is: 2,131,700.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,966 : 971,736 = 971,736 : x
  2. Step 2: Convert to fraction form
    442,966/971,736 = 971,736/x
  3. Step 3: Cross multiply
    442,966x = 971,736 × 971,736
  4. Step 4: Simplify right side
    442,966x = 944,270,853,696
  5. Step 5: Solve for x
    x = 944,270,853,696/442,966
  6. Step 6: Final answer
    x = 2,131,700.52

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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.