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Finding the Third Proportional to 657,852 and 1,417,215

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Solution

The third proportional to 657,852 and 1,417,215 is: 3,053,115.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,852 : 1,417,215 = 1,417,215 : x
  2. Step 2: Convert to fraction form
    657,852/1,417,215 = 1,417,215/x
  3. Step 3: Cross multiply
    657,852x = 1,417,215 × 1,417,215
  4. Step 4: Simplify right side
    657,852x = 2,008,498,356,225
  5. Step 5: Solve for x
    x = 2,008,498,356,225/657,852
  6. Step 6: Final answer
    x = 3,053,115.83

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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.