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Finding the Third Proportional to 666,400 and 1,451,120

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Solution

The third proportional to 666,400 and 1,451,120 is: 3,159,887.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,400 : 1,451,120 = 1,451,120 : x
  2. Step 2: Convert to fraction form
    666,400/1,451,120 = 1,451,120/x
  3. Step 3: Cross multiply
    666,400x = 1,451,120 × 1,451,120
  4. Step 4: Simplify right side
    666,400x = 2,105,749,254,400
  5. Step 5: Solve for x
    x = 2,105,749,254,400/666,400
  6. Step 6: Final answer
    x = 3,159,887.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.