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Finding the Third Proportional to 511,388 and 1,134,556

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Solution

The third proportional to 511,388 and 1,134,556 is: 2,517,105.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,388 : 1,134,556 = 1,134,556 : x
  2. Step 2: Convert to fraction form
    511,388/1,134,556 = 1,134,556/x
  3. Step 3: Cross multiply
    511,388x = 1,134,556 × 1,134,556
  4. Step 4: Simplify right side
    511,388x = 1,287,217,317,136
  5. Step 5: Solve for x
    x = 1,287,217,317,136/511,388
  6. Step 6: Final answer
    x = 2,517,105.05

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.