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Finding the Third Proportional to 668,187 and 1,456,972

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Solution

The third proportional to 668,187 and 1,456,972 is: 3,176,906.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,187 : 1,456,972 = 1,456,972 : x
  2. Step 2: Convert to fraction form
    668,187/1,456,972 = 1,456,972/x
  3. Step 3: Cross multiply
    668,187x = 1,456,972 × 1,456,972
  4. Step 4: Simplify right side
    668,187x = 2,122,767,408,784
  5. Step 5: Solve for x
    x = 2,122,767,408,784/668,187
  6. Step 6: Final answer
    x = 3,176,906.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.