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Finding the Third Proportional to 1,974,357 and 2,985,837

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Solution

The third proportional to 1,974,357 and 2,985,837 is: 4,515,506.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974,357 : 2,985,837 = 2,985,837 : x
  2. Step 2: Convert to fraction form
    1,974,357/2,985,837 = 2,985,837/x
  3. Step 3: Cross multiply
    1,974,357x = 2,985,837 × 2,985,837
  4. Step 4: Simplify right side
    1,974,357x = 8,915,222,590,569
  5. Step 5: Solve for x
    x = 8,915,222,590,569/1,974,357
  6. Step 6: Final answer
    x = 4,515,506.87

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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.