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Finding the Third Proportional to 4,123,170 and 6,291,401.63

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Solution

The third proportional to 4,123,170 and 6,291,401.63 is: 9,599,830.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123,170 : 6,291,401.63 = 6,291,401.63 : x
  2. Step 2: Convert to fraction form
    4,123,170/6,291,401.63 = 6,291,401.63/x
  3. Step 3: Cross multiply
    4,123,170x = 6,291,401.63 × 6,291,401.63
  4. Step 4: Simplify right side
    4,123,170x = 39,581,734,407,052.64
  5. Step 5: Solve for x
    x = 39,581,734,407,052.64/4,123,170
  6. Step 6: Final answer
    x = 9,599,830.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.