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Finding the Third Proportional to 1,410,920 and 2,129,100

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Solution

The third proportional to 1,410,920 and 2,129,100 is: 3,212,844.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,920 : 2,129,100 = 2,129,100 : x
  2. Step 2: Convert to fraction form
    1,410,920/2,129,100 = 2,129,100/x
  3. Step 3: Cross multiply
    1,410,920x = 2,129,100 × 2,129,100
  4. Step 4: Simplify right side
    1,410,920x = 4,533,066,810,000
  5. Step 5: Solve for x
    x = 4,533,066,810,000/1,410,920
  6. Step 6: Final answer
    x = 3,212,844.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.