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Finding the Third Proportional to 2,401,534 and 3,714,523

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Solution

The third proportional to 2,401,534 and 3,714,523 is: 5,745,361.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401,534 : 3,714,523 = 3,714,523 : x
  2. Step 2: Convert to fraction form
    2,401,534/3,714,523 = 3,714,523/x
  3. Step 3: Cross multiply
    2,401,534x = 3,714,523 × 3,714,523
  4. Step 4: Simplify right side
    2,401,534x = 13,797,681,117,529
  5. Step 5: Solve for x
    x = 13,797,681,117,529/2,401,534
  6. Step 6: Final answer
    x = 5,745,361.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.