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Finding the Third Proportional to 411,553 and 867,939

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Solution

The third proportional to 411,553 and 867,939 is: 1,830,427.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,553 : 867,939 = 867,939 : x
  2. Step 2: Convert to fraction form
    411,553/867,939 = 867,939/x
  3. Step 3: Cross multiply
    411,553x = 867,939 × 867,939
  4. Step 4: Simplify right side
    411,553x = 753,318,107,721
  5. Step 5: Solve for x
    x = 753,318,107,721/411,553
  6. Step 6: Final answer
    x = 1,830,427.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.