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Finding the Third Proportional to 971,682 and 2,134,668

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Solution

The third proportional to 971,682 and 2,134,668 is: 4,689,607.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,682 : 2,134,668 = 2,134,668 : x
  2. Step 2: Convert to fraction form
    971,682/2,134,668 = 2,134,668/x
  3. Step 3: Cross multiply
    971,682x = 2,134,668 × 2,134,668
  4. Step 4: Simplify right side
    971,682x = 4,556,807,470,224
  5. Step 5: Solve for x
    x = 4,556,807,470,224/971,682
  6. Step 6: Final answer
    x = 4,689,607.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.