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Finding the Third Proportional to 1,056,409 and 2,277,077

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Solution

The third proportional to 1,056,409 and 2,277,077 is: 4,908,212.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056,409 : 2,277,077 = 2,277,077 : x
  2. Step 2: Convert to fraction form
    1,056,409/2,277,077 = 2,277,077/x
  3. Step 3: Cross multiply
    1,056,409x = 2,277,077 × 2,277,077
  4. Step 4: Simplify right side
    1,056,409x = 5,185,079,663,929
  5. Step 5: Solve for x
    x = 5,185,079,663,929/1,056,409
  6. Step 6: Final answer
    x = 4,908,212.32

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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.