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Finding the Third Proportional to 1,947,782 and 2,910,770

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Solution

The third proportional to 1,947,782 and 2,910,770 is: 4,349,861.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947,782 : 2,910,770 = 2,910,770 : x
  2. Step 2: Convert to fraction form
    1,947,782/2,910,770 = 2,910,770/x
  3. Step 3: Cross multiply
    1,947,782x = 2,910,770 × 2,910,770
  4. Step 4: Simplify right side
    1,947,782x = 8,472,581,992,900
  5. Step 5: Solve for x
    x = 8,472,581,992,900/1,947,782
  6. Step 6: Final answer
    x = 4,349,861.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.