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Finding the Third Proportional to 2,477,430 and 3,670,097

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Solution

The third proportional to 2,477,430 and 3,670,097 is: 5,436,929.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477,430 : 3,670,097 = 3,670,097 : x
  2. Step 2: Convert to fraction form
    2,477,430/3,670,097 = 3,670,097/x
  3. Step 3: Cross multiply
    2,477,430x = 3,670,097 × 3,670,097
  4. Step 4: Simplify right side
    2,477,430x = 13,469,611,989,409
  5. Step 5: Solve for x
    x = 13,469,611,989,409/2,477,430
  6. Step 6: Final answer
    x = 5,436,929.39

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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.