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Finding the Third Proportional to 1,974,412 and 2,985,906

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Solution

The third proportional to 1,974,412 and 2,985,906 is: 4,515,589.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974,412 : 2,985,906 = 2,985,906 : x
  2. Step 2: Convert to fraction form
    1,974,412/2,985,906 = 2,985,906/x
  3. Step 3: Cross multiply
    1,974,412x = 2,985,906 × 2,985,906
  4. Step 4: Simplify right side
    1,974,412x = 8,915,634,640,836
  5. Step 5: Solve for x
    x = 8,915,634,640,836/1,974,412
  6. Step 6: Final answer
    x = 4,515,589.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.