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Finding the Third Proportional to 1,894,004 and 4,161,256

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Solution

The third proportional to 1,894,004 and 4,161,256 is: 9,142,563.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894,004 : 4,161,256 = 4,161,256 : x
  2. Step 2: Convert to fraction form
    1,894,004/4,161,256 = 4,161,256/x
  3. Step 3: Cross multiply
    1,894,004x = 4,161,256 × 4,161,256
  4. Step 4: Simplify right side
    1,894,004x = 17,316,051,497,536
  5. Step 5: Solve for x
    x = 17,316,051,497,536/1,894,004
  6. Step 6: Final answer
    x = 9,142,563.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.