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Finding the Third Proportional to 2,893,842 and 4,257,131

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Solution

The third proportional to 2,893,842 and 4,257,131 is: 6,262,665.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893,842 : 4,257,131 = 4,257,131 : x
  2. Step 2: Convert to fraction form
    2,893,842/4,257,131 = 4,257,131/x
  3. Step 3: Cross multiply
    2,893,842x = 4,257,131 × 4,257,131
  4. Step 4: Simplify right side
    2,893,842x = 18,123,164,351,161
  5. Step 5: Solve for x
    x = 18,123,164,351,161/2,893,842
  6. Step 6: Final answer
    x = 6,262,665.46

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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.