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Finding the Third Proportional to 665,968 and 1,456,272

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Solution

The third proportional to 665,968 and 1,456,272 is: 3,184,429.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,968 : 1,456,272 = 1,456,272 : x
  2. Step 2: Convert to fraction form
    665,968/1,456,272 = 1,456,272/x
  3. Step 3: Cross multiply
    665,968x = 1,456,272 × 1,456,272
  4. Step 4: Simplify right side
    665,968x = 2,120,728,137,984
  5. Step 5: Solve for x
    x = 2,120,728,137,984/665,968
  6. Step 6: Final answer
    x = 3,184,429.49

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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.