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Finding the Third Proportional to 2,894,299.50 and 4,254,738

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Solution

The third proportional to 2,894,299.50 and 4,254,738 is: 6,254,637.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894,299.50 : 4,254,738 = 4,254,738 : x
  2. Step 2: Convert to fraction form
    2,894,299.50/4,254,738 = 4,254,738/x
  3. Step 3: Cross multiply
    2,894,299.50x = 4,254,738 × 4,254,738
  4. Step 4: Simplify right side
    2,894,299.50x = 18,102,795,448,644
  5. Step 5: Solve for x
    x = 18,102,795,448,644/2,894,299.50
  6. Step 6: Final answer
    x = 6,254,637.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.