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Finding the Third Proportional to 476,299 and 1,027,380

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Solution

The third proportional to 476,299 and 1,027,380 is: 2,216,065.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,299 : 1,027,380 = 1,027,380 : x
  2. Step 2: Convert to fraction form
    476,299/1,027,380 = 1,027,380/x
  3. Step 3: Cross multiply
    476,299x = 1,027,380 × 1,027,380
  4. Step 4: Simplify right side
    476,299x = 1,055,509,664,400
  5. Step 5: Solve for x
    x = 1,055,509,664,400/476,299
  6. Step 6: Final answer
    x = 2,216,065.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.