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Finding the Third Proportional to 490,380 and 1,034,004

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Solution

The third proportional to 490,380 and 1,034,004 is: 2,180,277.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,380 : 1,034,004 = 1,034,004 : x
  2. Step 2: Convert to fraction form
    490,380/1,034,004 = 1,034,004/x
  3. Step 3: Cross multiply
    490,380x = 1,034,004 × 1,034,004
  4. Step 4: Simplify right side
    490,380x = 1,069,164,272,016
  5. Step 5: Solve for x
    x = 1,069,164,272,016/490,380
  6. Step 6: Final answer
    x = 2,180,277.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.