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Finding the Third Proportional to 2,362,608 and 3,494,097

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Solution

The third proportional to 2,362,608 and 3,494,097 is: 5,167,473.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362,608 : 3,494,097 = 3,494,097 : x
  2. Step 2: Convert to fraction form
    2,362,608/3,494,097 = 3,494,097/x
  3. Step 3: Cross multiply
    2,362,608x = 3,494,097 × 3,494,097
  4. Step 4: Simplify right side
    2,362,608x = 12,208,713,845,409
  5. Step 5: Solve for x
    x = 12,208,713,845,409/2,362,608
  6. Step 6: Final answer
    x = 5,167,473.34

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.