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Finding the Third Proportional to 665,778 and 1,456,107

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Solution

The third proportional to 665,778 and 1,456,107 is: 3,184,616.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,778 : 1,456,107 = 1,456,107 : x
  2. Step 2: Convert to fraction form
    665,778/1,456,107 = 1,456,107/x
  3. Step 3: Cross multiply
    665,778x = 1,456,107 × 1,456,107
  4. Step 4: Simplify right side
    665,778x = 2,120,247,595,449
  5. Step 5: Solve for x
    x = 2,120,247,595,449/665,778
  6. Step 6: Final answer
    x = 3,184,616.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.