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Finding the Third Proportional to 1,673,784 and 2,432,916

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Solution

The third proportional to 1,673,784 and 2,432,916 is: 3,536,346.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673,784 : 2,432,916 = 2,432,916 : x
  2. Step 2: Convert to fraction form
    1,673,784/2,432,916 = 2,432,916/x
  3. Step 3: Cross multiply
    1,673,784x = 2,432,916 × 2,432,916
  4. Step 4: Simplify right side
    1,673,784x = 5,919,080,263,056
  5. Step 5: Solve for x
    x = 5,919,080,263,056/1,673,784
  6. Step 6: Final answer
    x = 3,536,346.54

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.