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Finding the Third Proportional to 1,977,174 and 2,965,764

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Solution

The third proportional to 1,977,174 and 2,965,764 is: 4,448,650.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977,174 : 2,965,764 = 2,965,764 : x
  2. Step 2: Convert to fraction form
    1,977,174/2,965,764 = 2,965,764/x
  3. Step 3: Cross multiply
    1,977,174x = 2,965,764 × 2,965,764
  4. Step 4: Simplify right side
    1,977,174x = 8,795,756,103,696
  5. Step 5: Solve for x
    x = 8,795,756,103,696/1,977,174
  6. Step 6: Final answer
    x = 4,448,650.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.