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Finding the Third Proportional to 1,355,424 and 2,946,912

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Solution

The third proportional to 1,355,424 and 2,946,912 is: 6,407,065.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355,424 : 2,946,912 = 2,946,912 : x
  2. Step 2: Convert to fraction form
    1,355,424/2,946,912 = 2,946,912/x
  3. Step 3: Cross multiply
    1,355,424x = 2,946,912 × 2,946,912
  4. Step 4: Simplify right side
    1,355,424x = 8,684,290,335,744
  5. Step 5: Solve for x
    x = 8,684,290,335,744/1,355,424
  6. Step 6: Final answer
    x = 6,407,065.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.