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Finding the Third Proportional to 830,519 and 1,097,334

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Solution

The third proportional to 830,519 and 1,097,334 is: 1,449,866.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,519 : 1,097,334 = 1,097,334 : x
  2. Step 2: Convert to fraction form
    830,519/1,097,334 = 1,097,334/x
  3. Step 3: Cross multiply
    830,519x = 1,097,334 × 1,097,334
  4. Step 4: Simplify right side
    830,519x = 1,204,141,907,556
  5. Step 5: Solve for x
    x = 1,204,141,907,556/830,519
  6. Step 6: Final answer
    x = 1,449,866.78

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.