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Finding the Third Proportional to 2,946,769 and 4,431,115

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Solution

The third proportional to 2,946,769 and 4,431,115 is: 6,663,155.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946,769 : 4,431,115 = 4,431,115 : x
  2. Step 2: Convert to fraction form
    2,946,769/4,431,115 = 4,431,115/x
  3. Step 3: Cross multiply
    2,946,769x = 4,431,115 × 4,431,115
  4. Step 4: Simplify right side
    2,946,769x = 19,634,780,143,225
  5. Step 5: Solve for x
    x = 19,634,780,143,225/2,946,769
  6. Step 6: Final answer
    x = 6,663,155.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.