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Finding the Third Proportional to 1,193,254 and 1,733,529

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Solution

The third proportional to 1,193,254 and 1,733,529 is: 2,518,426.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193,254 : 1,733,529 = 1,733,529 : x
  2. Step 2: Convert to fraction form
    1,193,254/1,733,529 = 1,733,529/x
  3. Step 3: Cross multiply
    1,193,254x = 1,733,529 × 1,733,529
  4. Step 4: Simplify right side
    1,193,254x = 3,005,122,793,841
  5. Step 5: Solve for x
    x = 3,005,122,793,841/1,193,254
  6. Step 6: Final answer
    x = 2,518,426.75

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.