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Finding the Third Proportional to 815,850 and 1,743,804

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Solution

The third proportional to 815,850 and 1,743,804 is: 3,727,219.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,850 : 1,743,804 = 1,743,804 : x
  2. Step 2: Convert to fraction form
    815,850/1,743,804 = 1,743,804/x
  3. Step 3: Cross multiply
    815,850x = 1,743,804 × 1,743,804
  4. Step 4: Simplify right side
    815,850x = 3,040,852,390,416
  5. Step 5: Solve for x
    x = 3,040,852,390,416/815,850
  6. Step 6: Final answer
    x = 3,727,219.94

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.