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Finding the Third Proportional to 411,733 and 880,543

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Solution

The third proportional to 411,733 and 880,543 is: 1,883,152.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,733 : 880,543 = 880,543 : x
  2. Step 2: Convert to fraction form
    411,733/880,543 = 880,543/x
  3. Step 3: Cross multiply
    411,733x = 880,543 × 880,543
  4. Step 4: Simplify right side
    411,733x = 775,355,974,849
  5. Step 5: Solve for x
    x = 775,355,974,849/411,733
  6. Step 6: Final answer
    x = 1,883,152.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.