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Finding the Third Proportional to 668,170 and 1,456,938

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Solution

The third proportional to 668,170 and 1,456,938 is: 3,176,838.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,170 : 1,456,938 = 1,456,938 : x
  2. Step 2: Convert to fraction form
    668,170/1,456,938 = 1,456,938/x
  3. Step 3: Cross multiply
    668,170x = 1,456,938 × 1,456,938
  4. Step 4: Simplify right side
    668,170x = 2,122,668,335,844
  5. Step 5: Solve for x
    x = 2,122,668,335,844/668,170
  6. Step 6: Final answer
    x = 3,176,838.73

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