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Finding the Third Proportional to 814,606 and 1,651,034

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Solution

The third proportional to 814,606 and 1,651,034 is: 3,346,296.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,606 : 1,651,034 = 1,651,034 : x
  2. Step 2: Convert to fraction form
    814,606/1,651,034 = 1,651,034/x
  3. Step 3: Cross multiply
    814,606x = 1,651,034 × 1,651,034
  4. Step 4: Simplify right side
    814,606x = 2,725,913,269,156
  5. Step 5: Solve for x
    x = 2,725,913,269,156/814,606
  6. Step 6: Final answer
    x = 3,346,296.58

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.