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Finding the Third Proportional to 971,304 and 1,981,152

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Solution

The third proportional to 971,304 and 1,981,152 is: 4,040,921.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,304 : 1,981,152 = 1,981,152 : x
  2. Step 2: Convert to fraction form
    971,304/1,981,152 = 1,981,152/x
  3. Step 3: Cross multiply
    971,304x = 1,981,152 × 1,981,152
  4. Step 4: Simplify right side
    971,304x = 3,924,963,247,104
  5. Step 5: Solve for x
    x = 3,924,963,247,104/971,304
  6. Step 6: Final answer
    x = 4,040,921.53

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.