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Finding the Third Proportional to 1,769,112.98 and 3,869,453.95

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Solution

The third proportional to 1,769,112.98 and 3,869,453.95 is: 8,463,379.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769,112.98 : 3,869,453.95 = 3,869,453.95 : x
  2. Step 2: Convert to fraction form
    1,769,112.98/3,869,453.95 = 3,869,453.95/x
  3. Step 3: Cross multiply
    1,769,112.98x = 3,869,453.95 × 3,869,453.95
  4. Step 4: Simplify right side
    1,769,112.98x = 14,972,673,895,354.69
  5. Step 5: Solve for x
    x = 14,972,673,895,354.69/1,769,112.98
  6. Step 6: Final answer
    x = 8,463,379.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.