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Finding the Third Proportional to 419,848.50 and 887,121

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Solution

The third proportional to 419,848.50 and 887,121 is: 1,874,446.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,848.50 : 887,121 = 887,121 : x
  2. Step 2: Convert to fraction form
    419,848.50/887,121 = 887,121/x
  3. Step 3: Cross multiply
    419,848.50x = 887,121 × 887,121
  4. Step 4: Simplify right side
    419,848.50x = 786,983,668,641
  5. Step 5: Solve for x
    x = 786,983,668,641/419,848.50
  6. Step 6: Final answer
    x = 1,874,446.78

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.