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Finding the Third Proportional to 572,826 and 1,255,824

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Solution

The third proportional to 572,826 and 1,255,824 is: 2,753,181.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,826 : 1,255,824 = 1,255,824 : x
  2. Step 2: Convert to fraction form
    572,826/1,255,824 = 1,255,824/x
  3. Step 3: Cross multiply
    572,826x = 1,255,824 × 1,255,824
  4. Step 4: Simplify right side
    572,826x = 1,577,093,918,976
  5. Step 5: Solve for x
    x = 1,577,093,918,976/572,826
  6. Step 6: Final answer
    x = 2,753,181.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.