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Finding the Third Proportional to 1,114,936 and 2,446,412

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Solution

The third proportional to 1,114,936 and 2,446,412 is: 5,367,959.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114,936 : 2,446,412 = 2,446,412 : x
  2. Step 2: Convert to fraction form
    1,114,936/2,446,412 = 2,446,412/x
  3. Step 3: Cross multiply
    1,114,936x = 2,446,412 × 2,446,412
  4. Step 4: Simplify right side
    1,114,936x = 5,984,931,673,744
  5. Step 5: Solve for x
    x = 5,984,931,673,744/1,114,936
  6. Step 6: Final answer
    x = 5,367,959.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.