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Finding the Third Proportional to 1,228,532 and 2,684,008

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Solution

The third proportional to 1,228,532 and 2,684,008 is: 5,863,826.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228,532 : 2,684,008 = 2,684,008 : x
  2. Step 2: Convert to fraction form
    1,228,532/2,684,008 = 2,684,008/x
  3. Step 3: Cross multiply
    1,228,532x = 2,684,008 × 2,684,008
  4. Step 4: Simplify right side
    1,228,532x = 7,203,898,944,064
  5. Step 5: Solve for x
    x = 7,203,898,944,064/1,228,532
  6. Step 6: Final answer
    x = 5,863,826.86

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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.