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Finding the Third Proportional to 1,614,241 and 3,512,226

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Solution

The third proportional to 1,614,241 and 3,512,226 is: 7,641,815.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614,241 : 3,512,226 = 3,512,226 : x
  2. Step 2: Convert to fraction form
    1,614,241/3,512,226 = 3,512,226/x
  3. Step 3: Cross multiply
    1,614,241x = 3,512,226 × 3,512,226
  4. Step 4: Simplify right side
    1,614,241x = 12,335,731,475,076
  5. Step 5: Solve for x
    x = 12,335,731,475,076/1,614,241
  6. Step 6: Final answer
    x = 7,641,815.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.