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Finding the Third Proportional to 526,824 and 1,132,704

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Solution

The third proportional to 526,824 and 1,132,704 is: 2,435,383.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,824 : 1,132,704 = 1,132,704 : x
  2. Step 2: Convert to fraction form
    526,824/1,132,704 = 1,132,704/x
  3. Step 3: Cross multiply
    526,824x = 1,132,704 × 1,132,704
  4. Step 4: Simplify right side
    526,824x = 1,283,018,351,616
  5. Step 5: Solve for x
    x = 1,283,018,351,616/526,824
  6. Step 6: Final answer
    x = 2,435,383.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.