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Finding the Third Proportional to 411,468 and 899,832

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Solution

The third proportional to 411,468 and 899,832 is: 1,967,826.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,468 : 899,832 = 899,832 : x
  2. Step 2: Convert to fraction form
    411,468/899,832 = 899,832/x
  3. Step 3: Cross multiply
    411,468x = 899,832 × 899,832
  4. Step 4: Simplify right side
    411,468x = 809,697,628,224
  5. Step 5: Solve for x
    x = 809,697,628,224/411,468
  6. Step 6: Final answer
    x = 1,967,826.49

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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.