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Finding the Third Proportional to 1,965,549 and 2,962,174.50

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Solution

The third proportional to 1,965,549 and 2,962,174.50 is: 4,464,135.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965,549 : 2,962,174.50 = 2,962,174.50 : x
  2. Step 2: Convert to fraction form
    1,965,549/2,962,174.50 = 2,962,174.50/x
  3. Step 3: Cross multiply
    1,965,549x = 2,962,174.50 × 2,962,174.50
  4. Step 4: Simplify right side
    1,965,549x = 8,774,477,768,450.25
  5. Step 5: Solve for x
    x = 8,774,477,768,450.25/1,965,549
  6. Step 6: Final answer
    x = 4,464,135.86

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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.