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Finding the Third Proportional to 2,028,946 and 4,798,234

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Solution

The third proportional to 2,028,946 and 4,798,234 is: 11,347,295.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028,946 : 4,798,234 = 4,798,234 : x
  2. Step 2: Convert to fraction form
    2,028,946/4,798,234 = 4,798,234/x
  3. Step 3: Cross multiply
    2,028,946x = 4,798,234 × 4,798,234
  4. Step 4: Simplify right side
    2,028,946x = 23,023,049,518,756
  5. Step 5: Solve for x
    x = 23,023,049,518,756/2,028,946
  6. Step 6: Final answer
    x = 11,347,295.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.