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Finding the Third Proportional to 411,542 and 898,494

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Solution

The third proportional to 411,542 and 898,494 is: 1,961,625.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,542 : 898,494 = 898,494 : x
  2. Step 2: Convert to fraction form
    411,542/898,494 = 898,494/x
  3. Step 3: Cross multiply
    411,542x = 898,494 × 898,494
  4. Step 4: Simplify right side
    411,542x = 807,291,468,036
  5. Step 5: Solve for x
    x = 807,291,468,036/411,542
  6. Step 6: Final answer
    x = 1,961,625.95

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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.