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Finding the Third Proportional to 490,540.50 and 1,052,004

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Solution

The third proportional to 490,540.50 and 1,052,004 is: 2,256,108.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,540.50 : 1,052,004 = 1,052,004 : x
  2. Step 2: Convert to fraction form
    490,540.50/1,052,004 = 1,052,004/x
  3. Step 3: Cross multiply
    490,540.50x = 1,052,004 × 1,052,004
  4. Step 4: Simplify right side
    490,540.50x = 1,106,712,416,016
  5. Step 5: Solve for x
    x = 1,106,712,416,016/490,540.50
  6. Step 6: Final answer
    x = 2,256,108.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.