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Finding the Third Proportional to 665,868 and 1,456,098

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Solution

The third proportional to 665,868 and 1,456,098 is: 3,184,146.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,868 : 1,456,098 = 1,456,098 : x
  2. Step 2: Convert to fraction form
    665,868/1,456,098 = 1,456,098/x
  3. Step 3: Cross multiply
    665,868x = 1,456,098 × 1,456,098
  4. Step 4: Simplify right side
    665,868x = 2,120,221,385,604
  5. Step 5: Solve for x
    x = 2,120,221,385,604/665,868
  6. Step 6: Final answer
    x = 3,184,146.69

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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.