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Finding the Third Proportional to 814,030 and 1,650,226

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Solution

The third proportional to 814,030 and 1,650,226 is: 3,345,387.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,030 : 1,650,226 = 1,650,226 : x
  2. Step 2: Convert to fraction form
    814,030/1,650,226 = 1,650,226/x
  3. Step 3: Cross multiply
    814,030x = 1,650,226 × 1,650,226
  4. Step 4: Simplify right side
    814,030x = 2,723,245,851,076
  5. Step 5: Solve for x
    x = 2,723,245,851,076/814,030
  6. Step 6: Final answer
    x = 3,345,387.58

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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.