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Finding the Third Proportional to 945,525 and 1,419,255

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Solution

The third proportional to 945,525 and 1,419,255 is: 2,130,334.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,525 : 1,419,255 = 1,419,255 : x
  2. Step 2: Convert to fraction form
    945,525/1,419,255 = 1,419,255/x
  3. Step 3: Cross multiply
    945,525x = 1,419,255 × 1,419,255
  4. Step 4: Simplify right side
    945,525x = 2,014,284,755,025
  5. Step 5: Solve for x
    x = 2,014,284,755,025/945,525
  6. Step 6: Final answer
    x = 2,130,334.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.