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Finding the Third Proportional to 1,407,136 and 3,033,215

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Solution

The third proportional to 1,407,136 and 3,033,215 is: 6,538,382.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,136 : 3,033,215 = 3,033,215 : x
  2. Step 2: Convert to fraction form
    1,407,136/3,033,215 = 3,033,215/x
  3. Step 3: Cross multiply
    1,407,136x = 3,033,215 × 3,033,215
  4. Step 4: Simplify right side
    1,407,136x = 9,200,393,236,225
  5. Step 5: Solve for x
    x = 9,200,393,236,225/1,407,136
  6. Step 6: Final answer
    x = 6,538,382.39

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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.