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Finding the Third Proportional to 971,376 and 1,981,284

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Solution

The third proportional to 971,376 and 1,981,284 is: 4,041,160.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,376 : 1,981,284 = 1,981,284 : x
  2. Step 2: Convert to fraction form
    971,376/1,981,284 = 1,981,284/x
  3. Step 3: Cross multiply
    971,376x = 1,981,284 × 1,981,284
  4. Step 4: Simplify right side
    971,376x = 3,925,486,288,656
  5. Step 5: Solve for x
    x = 3,925,486,288,656/971,376
  6. Step 6: Final answer
    x = 4,041,160.47

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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.