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Finding the Third Proportional to 1,071,171 and 1,468,827

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Solution

The third proportional to 1,071,171 and 1,468,827 is: 2,014,106.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,171 : 1,468,827 = 1,468,827 : x
  2. Step 2: Convert to fraction form
    1,071,171/1,468,827 = 1,468,827/x
  3. Step 3: Cross multiply
    1,071,171x = 1,468,827 × 1,468,827
  4. Step 4: Simplify right side
    1,071,171x = 2,157,452,755,929
  5. Step 5: Solve for x
    x = 2,157,452,755,929/1,071,171
  6. Step 6: Final answer
    x = 2,014,106.76

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.