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Finding the Third Proportional to 735,416 and 1,040,652

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Solution

The third proportional to 735,416 and 1,040,652 is: 1,472,576.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,416 : 1,040,652 = 1,040,652 : x
  2. Step 2: Convert to fraction form
    735,416/1,040,652 = 1,040,652/x
  3. Step 3: Cross multiply
    735,416x = 1,040,652 × 1,040,652
  4. Step 4: Simplify right side
    735,416x = 1,082,956,585,104
  5. Step 5: Solve for x
    x = 1,082,956,585,104/735,416
  6. Step 6: Final answer
    x = 1,472,576.86

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.