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Finding the Third Proportional to 1,950,466.50 and 2,800,221.75

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Solution

The third proportional to 1,950,466.50 and 2,800,221.75 is: 4,020,187.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950,466.50 : 2,800,221.75 = 2,800,221.75 : x
  2. Step 2: Convert to fraction form
    1,950,466.50/2,800,221.75 = 2,800,221.75/x
  3. Step 3: Cross multiply
    1,950,466.50x = 2,800,221.75 × 2,800,221.75
  4. Step 4: Simplify right side
    1,950,466.50x = 7,841,241,849,173.06
  5. Step 5: Solve for x
    x = 7,841,241,849,173.06/1,950,466.50
  6. Step 6: Final answer
    x = 4,020,187.91

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.