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Finding the Third Proportional to 2,029,848 and 2,855,946

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Solution

The third proportional to 2,029,848 and 2,855,946 is: 4,018,245.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029,848 : 2,855,946 = 2,855,946 : x
  2. Step 2: Convert to fraction form
    2,029,848/2,855,946 = 2,855,946/x
  3. Step 3: Cross multiply
    2,029,848x = 2,855,946 × 2,855,946
  4. Step 4: Simplify right side
    2,029,848x = 8,156,427,554,916
  5. Step 5: Solve for x
    x = 8,156,427,554,916/2,029,848
  6. Step 6: Final answer
    x = 4,018,245.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.