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Finding the Third Proportional to 1,142,492 and 2,505,004

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Solution

The third proportional to 1,142,492 and 2,505,004 is: 5,492,419.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142,492 : 2,505,004 = 2,505,004 : x
  2. Step 2: Convert to fraction form
    1,142,492/2,505,004 = 2,505,004/x
  3. Step 3: Cross multiply
    1,142,492x = 2,505,004 × 2,505,004
  4. Step 4: Simplify right side
    1,142,492x = 6,275,045,040,016
  5. Step 5: Solve for x
    x = 6,275,045,040,016/1,142,492
  6. Step 6: Final answer
    x = 5,492,419.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.