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Finding the Third Proportional to 2,033,026 and 2,981,639

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Solution

The third proportional to 2,033,026 and 2,981,639 is: 4,372,876.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033,026 : 2,981,639 = 2,981,639 : x
  2. Step 2: Convert to fraction form
    2,033,026/2,981,639 = 2,981,639/x
  3. Step 3: Cross multiply
    2,033,026x = 2,981,639 × 2,981,639
  4. Step 4: Simplify right side
    2,033,026x = 8,890,171,126,321
  5. Step 5: Solve for x
    x = 8,890,171,126,321/2,033,026
  6. Step 6: Final answer
    x = 4,372,876.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.