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Finding the Third Proportional to 4,021,910 and 5,164,024

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Solution

The third proportional to 4,021,910 and 5,164,024 is: 6,630,467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,021,910 : 5,164,024 = 5,164,024 : x
  2. Step 2: Convert to fraction form
    4,021,910/5,164,024 = 5,164,024/x
  3. Step 3: Cross multiply
    4,021,910x = 5,164,024 × 5,164,024
  4. Step 4: Simplify right side
    4,021,910x = 26,667,143,872,576
  5. Step 5: Solve for x
    x = 26,667,143,872,576/4,021,910
  6. Step 6: Final answer
    x = 6,630,467.58

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.