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Finding the Third Proportional to 2,408,049 and 3,302,056.13

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Solution

The third proportional to 2,408,049 and 3,302,056.13 is: 4,527,970.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408,049 : 3,302,056.13 = 3,302,056.13 : x
  2. Step 2: Convert to fraction form
    2,408,049/3,302,056.13 = 3,302,056.13/x
  3. Step 3: Cross multiply
    2,408,049x = 3,302,056.13 × 3,302,056.13
  4. Step 4: Simplify right side
    2,408,049x = 10,903,574,652,650.02
  5. Step 5: Solve for x
    x = 10,903,574,652,650.02/2,408,049
  6. Step 6: Final answer
    x = 4,527,970.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.