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Finding the Third Proportional to 886,784 and 1,950,716

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Solution

The third proportional to 886,784 and 1,950,716 is: 4,291,115.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    886,784 : 1,950,716 = 1,950,716 : x
  2. Step 2: Convert to fraction form
    886,784/1,950,716 = 1,950,716/x
  3. Step 3: Cross multiply
    886,784x = 1,950,716 × 1,950,716
  4. Step 4: Simplify right side
    886,784x = 3,805,292,912,656
  5. Step 5: Solve for x
    x = 3,805,292,912,656/886,784
  6. Step 6: Final answer
    x = 4,291,115.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.