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Finding the Third Proportional to 433,866 and 937,917

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Solution

The third proportional to 433,866 and 937,917 is: 2,027,557.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,866 : 937,917 = 937,917 : x
  2. Step 2: Convert to fraction form
    433,866/937,917 = 937,917/x
  3. Step 3: Cross multiply
    433,866x = 937,917 × 937,917
  4. Step 4: Simplify right side
    433,866x = 879,688,298,889
  5. Step 5: Solve for x
    x = 879,688,298,889/433,866
  6. Step 6: Final answer
    x = 2,027,557.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.