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Finding the Third Proportional to 821,556 and 1,098,900

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Solution

The third proportional to 821,556 and 1,098,900 is: 1,469,870.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,556 : 1,098,900 = 1,098,900 : x
  2. Step 2: Convert to fraction form
    821,556/1,098,900 = 1,098,900/x
  3. Step 3: Cross multiply
    821,556x = 1,098,900 × 1,098,900
  4. Step 4: Simplify right side
    821,556x = 1,207,581,210,000
  5. Step 5: Solve for x
    x = 1,207,581,210,000/821,556
  6. Step 6: Final answer
    x = 1,469,870.84

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.