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Finding the Third Proportional to 666,424 and 1,451,168

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Solution

The third proportional to 666,424 and 1,451,168 is: 3,159,983.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,424 : 1,451,168 = 1,451,168 : x
  2. Step 2: Convert to fraction form
    666,424/1,451,168 = 1,451,168/x
  3. Step 3: Cross multiply
    666,424x = 1,451,168 × 1,451,168
  4. Step 4: Simplify right side
    666,424x = 2,105,888,564,224
  5. Step 5: Solve for x
    x = 2,105,888,564,224/666,424
  6. Step 6: Final answer
    x = 3,159,983.08

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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.