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Finding the Third Proportional to 938,142 and 1,829,622

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Solution

The third proportional to 938,142 and 1,829,622 is: 3,568,240.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,142 : 1,829,622 = 1,829,622 : x
  2. Step 2: Convert to fraction form
    938,142/1,829,622 = 1,829,622/x
  3. Step 3: Cross multiply
    938,142x = 1,829,622 × 1,829,622
  4. Step 4: Simplify right side
    938,142x = 3,347,516,662,884
  5. Step 5: Solve for x
    x = 3,347,516,662,884/938,142
  6. Step 6: Final answer
    x = 3,568,240.91

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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.