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Finding the Third Proportional to 658,214.86 and 1,414,638.42

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Solution

The third proportional to 658,214.86 and 1,414,638.42 is: 3,040,347.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,214.86 : 1,414,638.42 = 1,414,638.42 : x
  2. Step 2: Convert to fraction form
    658,214.86/1,414,638.42 = 1,414,638.42/x
  3. Step 3: Cross multiply
    658,214.86x = 1,414,638.42 × 1,414,638.42
  4. Step 4: Simplify right side
    658,214.86x = 2,001,201,864,644.99
  5. Step 5: Solve for x
    x = 2,001,201,864,644.99/658,214.86
  6. Step 6: Final answer
    x = 3,040,347.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.