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Finding the Third Proportional to 827,093 and 1,122,511

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Solution

The third proportional to 827,093 and 1,122,511 is: 1,523,445.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,093 : 1,122,511 = 1,122,511 : x
  2. Step 2: Convert to fraction form
    827,093/1,122,511 = 1,122,511/x
  3. Step 3: Cross multiply
    827,093x = 1,122,511 × 1,122,511
  4. Step 4: Simplify right side
    827,093x = 1,260,030,945,121
  5. Step 5: Solve for x
    x = 1,260,030,945,121/827,093
  6. Step 6: Final answer
    x = 1,523,445.30

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.