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Finding the Third Proportional to 476,307 and 1,027,395

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Solution

The third proportional to 476,307 and 1,027,395 is: 2,216,092.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,307 : 1,027,395 = 1,027,395 : x
  2. Step 2: Convert to fraction form
    476,307/1,027,395 = 1,027,395/x
  3. Step 3: Cross multiply
    476,307x = 1,027,395 × 1,027,395
  4. Step 4: Simplify right side
    476,307x = 1,055,540,486,025
  5. Step 5: Solve for x
    x = 1,055,540,486,025/476,307
  6. Step 6: Final answer
    x = 2,216,092.74

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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.