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Finding the Third Proportional to 4,230,849 and 6,169,045

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Solution

The third proportional to 4,230,849 and 6,169,045 is: 8,995,148.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230,849 : 6,169,045 = 6,169,045 : x
  2. Step 2: Convert to fraction form
    4,230,849/6,169,045 = 6,169,045/x
  3. Step 3: Cross multiply
    4,230,849x = 6,169,045 × 6,169,045
  4. Step 4: Simplify right side
    4,230,849x = 38,057,116,212,025
  5. Step 5: Solve for x
    x = 38,057,116,212,025/4,230,849
  6. Step 6: Final answer
    x = 8,995,148.78

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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.