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Finding the Third Proportional to 1,407,405 and 3,014,099

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Solution

The third proportional to 1,407,405 and 3,014,099 is: 6,454,995.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,405 : 3,014,099 = 3,014,099 : x
  2. Step 2: Convert to fraction form
    1,407,405/3,014,099 = 3,014,099/x
  3. Step 3: Cross multiply
    1,407,405x = 3,014,099 × 3,014,099
  4. Step 4: Simplify right side
    1,407,405x = 9,084,792,781,801
  5. Step 5: Solve for x
    x = 9,084,792,781,801/1,407,405
  6. Step 6: Final answer
    x = 6,454,995.39

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.