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Finding the Third Proportional to 665,738 and 1,456,028

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Solution

The third proportional to 665,738 and 1,456,028 is: 3,184,462.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,738 : 1,456,028 = 1,456,028 : x
  2. Step 2: Convert to fraction form
    665,738/1,456,028 = 1,456,028/x
  3. Step 3: Cross multiply
    665,738x = 1,456,028 × 1,456,028
  4. Step 4: Simplify right side
    665,738x = 2,120,017,536,784
  5. Step 5: Solve for x
    x = 2,120,017,536,784/665,738
  6. Step 6: Final answer
    x = 3,184,462.26

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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.