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Finding the Third Proportional to 909,165 and 1,914,180

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Solution

The third proportional to 909,165 and 1,914,180 is: 4,030,165.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,165 : 1,914,180 = 1,914,180 : x
  2. Step 2: Convert to fraction form
    909,165/1,914,180 = 1,914,180/x
  3. Step 3: Cross multiply
    909,165x = 1,914,180 × 1,914,180
  4. Step 4: Simplify right side
    909,165x = 3,664,085,072,400
  5. Step 5: Solve for x
    x = 3,664,085,072,400/909,165
  6. Step 6: Final answer
    x = 4,030,165.12

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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.