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Finding the Third Proportional to 697,146 and 1,522,218

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Solution

The third proportional to 697,146 and 1,522,218 is: 3,323,762.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,146 : 1,522,218 = 1,522,218 : x
  2. Step 2: Convert to fraction form
    697,146/1,522,218 = 1,522,218/x
  3. Step 3: Cross multiply
    697,146x = 1,522,218 × 1,522,218
  4. Step 4: Simplify right side
    697,146x = 2,317,147,639,524
  5. Step 5: Solve for x
    x = 2,317,147,639,524/697,146
  6. Step 6: Final answer
    x = 3,323,762.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.