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Finding the Third Proportional to 1,566,164 and 3,419,954

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Solution

The third proportional to 1,566,164 and 3,419,954 is: 7,467,982.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566,164 : 3,419,954 = 3,419,954 : x
  2. Step 2: Convert to fraction form
    1,566,164/3,419,954 = 3,419,954/x
  3. Step 3: Cross multiply
    1,566,164x = 3,419,954 × 3,419,954
  4. Step 4: Simplify right side
    1,566,164x = 11,696,085,362,116
  5. Step 5: Solve for x
    x = 11,696,085,362,116/1,566,164
  6. Step 6: Final answer
    x = 7,467,982.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.