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Finding the Third Proportional to 433,868 and 937,921

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Solution

The third proportional to 433,868 and 937,921 is: 2,027,565.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,868 : 937,921 = 937,921 : x
  2. Step 2: Convert to fraction form
    433,868/937,921 = 937,921/x
  3. Step 3: Cross multiply
    433,868x = 937,921 × 937,921
  4. Step 4: Simplify right side
    433,868x = 879,695,802,241
  5. Step 5: Solve for x
    x = 879,695,802,241/433,868
  6. Step 6: Final answer
    x = 2,027,565.53

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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.