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Finding the Third Proportional to 1,964,514 and 4,231,308

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Solution

The third proportional to 1,964,514 and 4,231,308 is: 9,113,687.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964,514 : 4,231,308 = 4,231,308 : x
  2. Step 2: Convert to fraction form
    1,964,514/4,231,308 = 4,231,308/x
  3. Step 3: Cross multiply
    1,964,514x = 4,231,308 × 4,231,308
  4. Step 4: Simplify right side
    1,964,514x = 17,903,967,390,864
  5. Step 5: Solve for x
    x = 17,903,967,390,864/1,964,514
  6. Step 6: Final answer
    x = 9,113,687.86

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