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Finding the Third Proportional to 1,410,062 and 2,914,972

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Solution

The third proportional to 1,410,062 and 2,914,972 is: 6,026,019.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,062 : 2,914,972 = 2,914,972 : x
  2. Step 2: Convert to fraction form
    1,410,062/2,914,972 = 2,914,972/x
  3. Step 3: Cross multiply
    1,410,062x = 2,914,972 × 2,914,972
  4. Step 4: Simplify right side
    1,410,062x = 8,497,061,760,784
  5. Step 5: Solve for x
    x = 8,497,061,760,784/1,410,062
  6. Step 6: Final answer
    x = 6,026,019.96

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.