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Finding the Third Proportional to 971,291 and 2,060,932

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Solution

The third proportional to 971,291 and 2,060,932 is: 4,372,984.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,291 : 2,060,932 = 2,060,932 : x
  2. Step 2: Convert to fraction form
    971,291/2,060,932 = 2,060,932/x
  3. Step 3: Cross multiply
    971,291x = 2,060,932 × 2,060,932
  4. Step 4: Simplify right side
    971,291x = 4,247,440,708,624
  5. Step 5: Solve for x
    x = 4,247,440,708,624/971,291
  6. Step 6: Final answer
    x = 4,372,984.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.