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Finding the Third Proportional to 1,478,460 and 2,114,226

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Solution

The third proportional to 1,478,460 and 2,114,226 is: 3,023,383.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478,460 : 2,114,226 = 2,114,226 : x
  2. Step 2: Convert to fraction form
    1,478,460/2,114,226 = 2,114,226/x
  3. Step 3: Cross multiply
    1,478,460x = 2,114,226 × 2,114,226
  4. Step 4: Simplify right side
    1,478,460x = 4,469,951,579,076
  5. Step 5: Solve for x
    x = 4,469,951,579,076/1,478,460
  6. Step 6: Final answer
    x = 3,023,383.51

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.