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Finding the Third Proportional to 1,136,938 and 2,431,412

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Solution

The third proportional to 1,136,938 and 2,431,412 is: 5,199,724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136,938 : 2,431,412 = 2,431,412 : x
  2. Step 2: Convert to fraction form
    1,136,938/2,431,412 = 2,431,412/x
  3. Step 3: Cross multiply
    1,136,938x = 2,431,412 × 2,431,412
  4. Step 4: Simplify right side
    1,136,938x = 5,911,764,313,744
  5. Step 5: Solve for x
    x = 5,911,764,313,744/1,136,938
  6. Step 6: Final answer
    x = 5,199,724.45

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Why These Related Problems?

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