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Finding the Third Proportional to 1,620,162 and 3,545,460

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Solution

The third proportional to 1,620,162 and 3,545,460 is: 7,758,660.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620,162 : 3,545,460 = 3,545,460 : x
  2. Step 2: Convert to fraction form
    1,620,162/3,545,460 = 3,545,460/x
  3. Step 3: Cross multiply
    1,620,162x = 3,545,460 × 3,545,460
  4. Step 4: Simplify right side
    1,620,162x = 12,570,286,611,600
  5. Step 5: Solve for x
    x = 12,570,286,611,600/1,620,162
  6. Step 6: Final answer
    x = 7,758,660.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.