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Finding the Third Proportional to 534,922 and 1,174,804

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Solution

The third proportional to 534,922 and 1,174,804 is: 2,580,122.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,922 : 1,174,804 = 1,174,804 : x
  2. Step 2: Convert to fraction form
    534,922/1,174,804 = 1,174,804/x
  3. Step 3: Cross multiply
    534,922x = 1,174,804 × 1,174,804
  4. Step 4: Simplify right side
    534,922x = 1,380,164,438,416
  5. Step 5: Solve for x
    x = 1,380,164,438,416/534,922
  6. Step 6: Final answer
    x = 2,580,122.78

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.