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Finding the Third Proportional to 938,176 and 1,829,692

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Solution

The third proportional to 938,176 and 1,829,692 is: 3,568,384.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,176 : 1,829,692 = 1,829,692 : x
  2. Step 2: Convert to fraction form
    938,176/1,829,692 = 1,829,692/x
  3. Step 3: Cross multiply
    938,176x = 1,829,692 × 1,829,692
  4. Step 4: Simplify right side
    938,176x = 3,347,772,814,864
  5. Step 5: Solve for x
    x = 3,347,772,814,864/938,176
  6. Step 6: Final answer
    x = 3,568,384.63

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.