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Finding the Third Proportional to 666,762 and 1,440,144

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Solution

The third proportional to 666,762 and 1,440,144 is: 3,110,577.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,762 : 1,440,144 = 1,440,144 : x
  2. Step 2: Convert to fraction form
    666,762/1,440,144 = 1,440,144/x
  3. Step 3: Cross multiply
    666,762x = 1,440,144 × 1,440,144
  4. Step 4: Simplify right side
    666,762x = 2,074,014,740,736
  5. Step 5: Solve for x
    x = 2,074,014,740,736/666,762
  6. Step 6: Final answer
    x = 3,110,577.30

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.