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Finding the Third Proportional to 1,974,354 and 2,985,831

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Solution

The third proportional to 1,974,354 and 2,985,831 is: 4,515,495.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974,354 : 2,985,831 = 2,985,831 : x
  2. Step 2: Convert to fraction form
    1,974,354/2,985,831 = 2,985,831/x
  3. Step 3: Cross multiply
    1,974,354x = 2,985,831 × 2,985,831
  4. Step 4: Simplify right side
    1,974,354x = 8,915,186,760,561
  5. Step 5: Solve for x
    x = 8,915,186,760,561/1,974,354
  6. Step 6: Final answer
    x = 4,515,495.58

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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.