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Finding the Third Proportional to 962,923 and 1,490,205

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Solution

The third proportional to 962,923 and 1,490,205 is: 2,306,218.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,923 : 1,490,205 = 1,490,205 : x
  2. Step 2: Convert to fraction form
    962,923/1,490,205 = 1,490,205/x
  3. Step 3: Cross multiply
    962,923x = 1,490,205 × 1,490,205
  4. Step 4: Simplify right side
    962,923x = 2,220,710,942,025
  5. Step 5: Solve for x
    x = 2,220,710,942,025/962,923
  6. Step 6: Final answer
    x = 2,306,218.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.