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Finding the Third Proportional to 938,142 and 1,829,619

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Solution

The third proportional to 938,142 and 1,829,619 is: 3,568,229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,142 : 1,829,619 = 1,829,619 : x
  2. Step 2: Convert to fraction form
    938,142/1,829,619 = 1,829,619/x
  3. Step 3: Cross multiply
    938,142x = 1,829,619 × 1,829,619
  4. Step 4: Simplify right side
    938,142x = 3,347,505,685,161
  5. Step 5: Solve for x
    x = 3,347,505,685,161/938,142
  6. Step 6: Final answer
    x = 3,568,229.21

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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.