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Finding the Third Proportional to 986,424 and 2,151,573

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Solution

The third proportional to 986,424 and 2,151,573 is: 4,692,978.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,424 : 2,151,573 = 2,151,573 : x
  2. Step 2: Convert to fraction form
    986,424/2,151,573 = 2,151,573/x
  3. Step 3: Cross multiply
    986,424x = 2,151,573 × 2,151,573
  4. Step 4: Simplify right side
    986,424x = 4,629,266,374,329
  5. Step 5: Solve for x
    x = 4,629,266,374,329/986,424
  6. Step 6: Final answer
    x = 4,692,978.25

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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.