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Finding the Third Proportional to 945,546 and 2,042,652

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Solution

The third proportional to 945,546 and 2,042,652 is: 4,412,717.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,546 : 2,042,652 = 2,042,652 : x
  2. Step 2: Convert to fraction form
    945,546/2,042,652 = 2,042,652/x
  3. Step 3: Cross multiply
    945,546x = 2,042,652 × 2,042,652
  4. Step 4: Simplify right side
    945,546x = 4,172,427,193,104
  5. Step 5: Solve for x
    x = 4,172,427,193,104/945,546
  6. Step 6: Final answer
    x = 4,412,717.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.