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Finding the Third Proportional to 666,783 and 1,440,189

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Solution

The third proportional to 666,783 and 1,440,189 is: 3,110,673.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,783 : 1,440,189 = 1,440,189 : x
  2. Step 2: Convert to fraction form
    666,783/1,440,189 = 1,440,189/x
  3. Step 3: Cross multiply
    666,783x = 1,440,189 × 1,440,189
  4. Step 4: Simplify right side
    666,783x = 2,074,144,355,721
  5. Step 5: Solve for x
    x = 2,074,144,355,721/666,783
  6. Step 6: Final answer
    x = 3,110,673.72

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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.