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Finding the Third Proportional to 1,046,738 and 1,611,147

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Solution

The third proportional to 1,046,738 and 1,611,147 is: 2,479,889.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046,738 : 1,611,147 = 1,611,147 : x
  2. Step 2: Convert to fraction form
    1,046,738/1,611,147 = 1,611,147/x
  3. Step 3: Cross multiply
    1,046,738x = 1,611,147 × 1,611,147
  4. Step 4: Simplify right side
    1,046,738x = 2,595,794,655,609
  5. Step 5: Solve for x
    x = 2,595,794,655,609/1,046,738
  6. Step 6: Final answer
    x = 2,479,889.58

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.