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Finding the Third Proportional to 490,454 and 1,095,725

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Solution

The third proportional to 490,454 and 1,095,725 is: 2,447,963.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,454 : 1,095,725 = 1,095,725 : x
  2. Step 2: Convert to fraction form
    490,454/1,095,725 = 1,095,725/x
  3. Step 3: Cross multiply
    490,454x = 1,095,725 × 1,095,725
  4. Step 4: Simplify right side
    490,454x = 1,200,613,275,625
  5. Step 5: Solve for x
    x = 1,200,613,275,625/490,454
  6. Step 6: Final answer
    x = 2,447,963.06

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.