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Finding the Third Proportional to 411,404 and 899,704

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Solution

The third proportional to 411,404 and 899,704 is: 1,967,572.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,404 : 899,704 = 899,704 : x
  2. Step 2: Convert to fraction form
    411,404/899,704 = 899,704/x
  3. Step 3: Cross multiply
    411,404x = 899,704 × 899,704
  4. Step 4: Simplify right side
    411,404x = 809,467,287,616
  5. Step 5: Solve for x
    x = 809,467,287,616/411,404
  6. Step 6: Final answer
    x = 1,967,572.72

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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.