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Finding the Third Proportional to 490,800 and 1,038,188

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Solution

The third proportional to 490,800 and 1,038,188 is: 2,196,076.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,800 : 1,038,188 = 1,038,188 : x
  2. Step 2: Convert to fraction form
    490,800/1,038,188 = 1,038,188/x
  3. Step 3: Cross multiply
    490,800x = 1,038,188 × 1,038,188
  4. Step 4: Simplify right side
    490,800x = 1,077,834,323,344
  5. Step 5: Solve for x
    x = 1,077,834,323,344/490,800
  6. Step 6: Final answer
    x = 2,196,076.45

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.