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Finding the Third Proportional to 411,533 and 898,477

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Solution

The third proportional to 411,533 and 898,477 is: 1,961,594.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,533 : 898,477 = 898,477 : x
  2. Step 2: Convert to fraction form
    411,533/898,477 = 898,477/x
  3. Step 3: Cross multiply
    411,533x = 898,477 × 898,477
  4. Step 4: Simplify right side
    411,533x = 807,260,919,529
  5. Step 5: Solve for x
    x = 807,260,919,529/411,533
  6. Step 6: Final answer
    x = 1,961,594.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.