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Finding the Third Proportional to 733,524 and 1,122,083

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Solution

The third proportional to 733,524 and 1,122,083 is: 1,716,467.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,524 : 1,122,083 = 1,122,083 : x
  2. Step 2: Convert to fraction form
    733,524/1,122,083 = 1,122,083/x
  3. Step 3: Cross multiply
    733,524x = 1,122,083 × 1,122,083
  4. Step 4: Simplify right side
    733,524x = 1,259,070,258,889
  5. Step 5: Solve for x
    x = 1,259,070,258,889/733,524
  6. Step 6: Final answer
    x = 1,716,467.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.