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Finding the Third Proportional to 1,193,256 and 1,733,532

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Solution

The third proportional to 1,193,256 and 1,733,532 is: 2,518,431.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193,256 : 1,733,532 = 1,733,532 : x
  2. Step 2: Convert to fraction form
    1,193,256/1,733,532 = 1,733,532/x
  3. Step 3: Cross multiply
    1,193,256x = 1,733,532 × 1,733,532
  4. Step 4: Simplify right side
    1,193,256x = 3,005,133,195,024
  5. Step 5: Solve for x
    x = 3,005,133,195,024/1,193,256
  6. Step 6: Final answer
    x = 2,518,431.25

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