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Finding the Third Proportional to 1,405,966 and 2,128,670

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Solution

The third proportional to 1,405,966 and 2,128,670 is: 3,222,863.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405,966 : 2,128,670 = 2,128,670 : x
  2. Step 2: Convert to fraction form
    1,405,966/2,128,670 = 2,128,670/x
  3. Step 3: Cross multiply
    1,405,966x = 2,128,670 × 2,128,670
  4. Step 4: Simplify right side
    1,405,966x = 4,531,235,968,900
  5. Step 5: Solve for x
    x = 4,531,235,968,900/1,405,966
  6. Step 6: Final answer
    x = 3,222,863.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.