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Finding the Third Proportional to 1,009,561 and 2,159,198

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Solution

The third proportional to 1,009,561 and 2,159,198 is: 4,617,983.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009,561 : 2,159,198 = 2,159,198 : x
  2. Step 2: Convert to fraction form
    1,009,561/2,159,198 = 2,159,198/x
  3. Step 3: Cross multiply
    1,009,561x = 2,159,198 × 2,159,198
  4. Step 4: Simplify right side
    1,009,561x = 4,662,136,003,204
  5. Step 5: Solve for x
    x = 4,662,136,003,204/1,009,561
  6. Step 6: Final answer
    x = 4,617,983.46

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.