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Finding the Third Proportional to 2,286,412 and 3,343,743

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Solution

The third proportional to 2,286,412 and 3,343,743 is: 4,890,027.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286,412 : 3,343,743 = 3,343,743 : x
  2. Step 2: Convert to fraction form
    2,286,412/3,343,743 = 3,343,743/x
  3. Step 3: Cross multiply
    2,286,412x = 3,343,743 × 3,343,743
  4. Step 4: Simplify right side
    2,286,412x = 11,180,617,250,049
  5. Step 5: Solve for x
    x = 11,180,617,250,049/2,286,412
  6. Step 6: Final answer
    x = 4,890,027.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.