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Finding the Third Proportional to 733,494 and 1,122,024

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Solution

The third proportional to 733,494 and 1,122,024 is: 1,716,357.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,494 : 1,122,024 = 1,122,024 : x
  2. Step 2: Convert to fraction form
    733,494/1,122,024 = 1,122,024/x
  3. Step 3: Cross multiply
    733,494x = 1,122,024 × 1,122,024
  4. Step 4: Simplify right side
    733,494x = 1,258,937,856,576
  5. Step 5: Solve for x
    x = 1,258,937,856,576/733,494
  6. Step 6: Final answer
    x = 1,716,357.40

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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.