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Finding the Third Proportional to 2,130,343 and 2,996,469

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Solution

The third proportional to 2,130,343 and 2,996,469 is: 4,214,732.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130,343 : 2,996,469 = 2,996,469 : x
  2. Step 2: Convert to fraction form
    2,130,343/2,996,469 = 2,996,469/x
  3. Step 3: Cross multiply
    2,130,343x = 2,996,469 × 2,996,469
  4. Step 4: Simplify right side
    2,130,343x = 8,978,826,467,961
  5. Step 5: Solve for x
    x = 8,978,826,467,961/2,130,343
  6. Step 6: Final answer
    x = 4,214,732.78

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.