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Finding the Third Proportional to 1,782,324 and 3,848,733

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Solution

The third proportional to 1,782,324 and 3,848,733 is: 8,310,916.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,324 : 3,848,733 = 3,848,733 : x
  2. Step 2: Convert to fraction form
    1,782,324/3,848,733 = 3,848,733/x
  3. Step 3: Cross multiply
    1,782,324x = 3,848,733 × 3,848,733
  4. Step 4: Simplify right side
    1,782,324x = 14,812,745,705,289
  5. Step 5: Solve for x
    x = 14,812,745,705,289/1,782,324
  6. Step 6: Final answer
    x = 8,310,916.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.