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Finding the Third Proportional to 435,638.25 and 938,010.38

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Solution

The third proportional to 435,638.25 and 938,010.38 is: 2,019,711.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,638.25 : 938,010.38 = 938,010.38 : x
  2. Step 2: Convert to fraction form
    435,638.25/938,010.38 = 938,010.38/x
  3. Step 3: Cross multiply
    435,638.25x = 938,010.38 × 938,010.38
  4. Step 4: Simplify right side
    435,638.25x = 879,863,463,607.64
  5. Step 5: Solve for x
    x = 879,863,463,607.64/435,638.25
  6. Step 6: Final answer
    x = 2,019,711.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.