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Finding the Third Proportional to 1,419,254 and 2,123,004

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Solution

The third proportional to 1,419,254 and 2,123,004 is: 3,175,714.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,254 : 2,123,004 = 2,123,004 : x
  2. Step 2: Convert to fraction form
    1,419,254/2,123,004 = 2,123,004/x
  3. Step 3: Cross multiply
    1,419,254x = 2,123,004 × 2,123,004
  4. Step 4: Simplify right side
    1,419,254x = 4,507,145,984,016
  5. Step 5: Solve for x
    x = 4,507,145,984,016/1,419,254
  6. Step 6: Final answer
    x = 3,175,714.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.