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Finding the Third Proportional to 986,781 and 2,125,827

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Solution

The third proportional to 986,781 and 2,125,827 is: 4,579,679.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,781 : 2,125,827 = 2,125,827 : x
  2. Step 2: Convert to fraction form
    986,781/2,125,827 = 2,125,827/x
  3. Step 3: Cross multiply
    986,781x = 2,125,827 × 2,125,827
  4. Step 4: Simplify right side
    986,781x = 4,519,140,433,929
  5. Step 5: Solve for x
    x = 4,519,140,433,929/986,781
  6. Step 6: Final answer
    x = 4,579,679.21

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.