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Finding the Third Proportional to 945,990 and 1,417,600

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Solution

The third proportional to 945,990 and 1,417,600 is: 2,124,324.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,990 : 1,417,600 = 1,417,600 : x
  2. Step 2: Convert to fraction form
    945,990/1,417,600 = 1,417,600/x
  3. Step 3: Cross multiply
    945,990x = 1,417,600 × 1,417,600
  4. Step 4: Simplify right side
    945,990x = 2,009,589,760,000
  5. Step 5: Solve for x
    x = 2,009,589,760,000/945,990
  6. Step 6: Final answer
    x = 2,124,324.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.