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Finding the Third Proportional to 476,307 and 1,027,397

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Solution

The third proportional to 476,307 and 1,027,397 is: 2,216,101.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,307 : 1,027,397 = 1,027,397 : x
  2. Step 2: Convert to fraction form
    476,307/1,027,397 = 1,027,397/x
  3. Step 3: Cross multiply
    476,307x = 1,027,397 × 1,027,397
  4. Step 4: Simplify right side
    476,307x = 1,055,544,595,609
  5. Step 5: Solve for x
    x = 1,055,544,595,609/476,307
  6. Step 6: Final answer
    x = 2,216,101.37

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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.