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Finding the Third Proportional to 1,150,314 and 2,419,584

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Solution

The third proportional to 1,150,314 and 2,419,584 is: 5,089,381.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150,314 : 2,419,584 = 2,419,584 : x
  2. Step 2: Convert to fraction form
    1,150,314/2,419,584 = 2,419,584/x
  3. Step 3: Cross multiply
    1,150,314x = 2,419,584 × 2,419,584
  4. Step 4: Simplify right side
    1,150,314x = 5,854,386,733,056
  5. Step 5: Solve for x
    x = 5,854,386,733,056/1,150,314
  6. Step 6: Final answer
    x = 5,089,381.45

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.