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Finding the Third Proportional to 665,769 and 1,456,088

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Solution

The third proportional to 665,769 and 1,456,088 is: 3,184,576.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,769 : 1,456,088 = 1,456,088 : x
  2. Step 2: Convert to fraction form
    665,769/1,456,088 = 1,456,088/x
  3. Step 3: Cross multiply
    665,769x = 1,456,088 × 1,456,088
  4. Step 4: Simplify right side
    665,769x = 2,120,192,263,744
  5. Step 5: Solve for x
    x = 2,120,192,263,744/665,769
  6. Step 6: Final answer
    x = 3,184,576.43

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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.