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Finding the Third Proportional to 2,141,018 and 4,492,214

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Solution

The third proportional to 2,141,018 and 4,492,214 is: 9,425,416.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141,018 : 4,492,214 = 4,492,214 : x
  2. Step 2: Convert to fraction form
    2,141,018/4,492,214 = 4,492,214/x
  3. Step 3: Cross multiply
    2,141,018x = 4,492,214 × 4,492,214
  4. Step 4: Simplify right side
    2,141,018x = 20,179,986,621,796
  5. Step 5: Solve for x
    x = 20,179,986,621,796/2,141,018
  6. Step 6: Final answer
    x = 9,425,416.61

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.