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Finding the Third Proportional to 1,228,440 and 2,658,096

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Solution

The third proportional to 1,228,440 and 2,658,096 is: 5,751,582.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228,440 : 2,658,096 = 2,658,096 : x
  2. Step 2: Convert to fraction form
    1,228,440/2,658,096 = 2,658,096/x
  3. Step 3: Cross multiply
    1,228,440x = 2,658,096 × 2,658,096
  4. Step 4: Simplify right side
    1,228,440x = 7,065,474,345,216
  5. Step 5: Solve for x
    x = 7,065,474,345,216/1,228,440
  6. Step 6: Final answer
    x = 5,751,582.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.