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Finding the Third Proportional to 735,414 and 1,040,649

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Solution

The third proportional to 735,414 and 1,040,649 is: 1,472,572.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,414 : 1,040,649 = 1,040,649 : x
  2. Step 2: Convert to fraction form
    735,414/1,040,649 = 1,040,649/x
  3. Step 3: Cross multiply
    735,414x = 1,040,649 × 1,040,649
  4. Step 4: Simplify right side
    735,414x = 1,082,950,341,201
  5. Step 5: Solve for x
    x = 1,082,950,341,201/735,414
  6. Step 6: Final answer
    x = 1,472,572.38

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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.