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Finding the Third Proportional to 1,664,224 and 2,378,106

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Solution

The third proportional to 1,664,224 and 2,378,106 is: 3,398,213.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664,224 : 2,378,106 = 2,378,106 : x
  2. Step 2: Convert to fraction form
    1,664,224/2,378,106 = 2,378,106/x
  3. Step 3: Cross multiply
    1,664,224x = 2,378,106 × 2,378,106
  4. Step 4: Simplify right side
    1,664,224x = 5,655,388,147,236
  5. Step 5: Solve for x
    x = 5,655,388,147,236/1,664,224
  6. Step 6: Final answer
    x = 3,398,213.31

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.