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Finding the Third Proportional to 2,400,102 and 3,376,041

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Solution

The third proportional to 2,400,102 and 3,376,041 is: 4,748,820.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400,102 : 3,376,041 = 3,376,041 : x
  2. Step 2: Convert to fraction form
    2,400,102/3,376,041 = 3,376,041/x
  3. Step 3: Cross multiply
    2,400,102x = 3,376,041 × 3,376,041
  4. Step 4: Simplify right side
    2,400,102x = 11,397,652,833,681
  5. Step 5: Solve for x
    x = 11,397,652,833,681/2,400,102
  6. Step 6: Final answer
    x = 4,748,820.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.