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Finding the Third Proportional to 1,766,622 and 3,813,018

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Solution

The third proportional to 1,766,622 and 3,813,018 is: 8,229,890.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766,622 : 3,813,018 = 3,813,018 : x
  2. Step 2: Convert to fraction form
    1,766,622/3,813,018 = 3,813,018/x
  3. Step 3: Cross multiply
    1,766,622x = 3,813,018 × 3,813,018
  4. Step 4: Simplify right side
    1,766,622x = 14,539,106,268,324
  5. Step 5: Solve for x
    x = 14,539,106,268,324/1,766,622
  6. Step 6: Final answer
    x = 8,229,890.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.