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Finding the Third Proportional to 2,017,740 and 4,222,416

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Solution

The third proportional to 2,017,740 and 4,222,416 is: 8,836,022.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017,740 : 4,222,416 = 4,222,416 : x
  2. Step 2: Convert to fraction form
    2,017,740/4,222,416 = 4,222,416/x
  3. Step 3: Cross multiply
    2,017,740x = 4,222,416 × 4,222,416
  4. Step 4: Simplify right side
    2,017,740x = 17,828,796,877,056
  5. Step 5: Solve for x
    x = 17,828,796,877,056/2,017,740
  6. Step 6: Final answer
    x = 8,836,022.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.