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Finding the Third Proportional to 971,256 and 1,981,050

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Solution

The third proportional to 971,256 and 1,981,050 is: 4,040,705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,256 : 1,981,050 = 1,981,050 : x
  2. Step 2: Convert to fraction form
    971,256/1,981,050 = 1,981,050/x
  3. Step 3: Cross multiply
    971,256x = 1,981,050 × 1,981,050
  4. Step 4: Simplify right side
    971,256x = 3,924,559,102,500
  5. Step 5: Solve for x
    x = 3,924,559,102,500/971,256
  6. Step 6: Final answer
    x = 4,040,705.13

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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.