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Finding the Third Proportional to 611,904 and 1,325,505

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Solution

The third proportional to 611,904 and 1,325,505 is: 2,871,305.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,904 : 1,325,505 = 1,325,505 : x
  2. Step 2: Convert to fraction form
    611,904/1,325,505 = 1,325,505/x
  3. Step 3: Cross multiply
    611,904x = 1,325,505 × 1,325,505
  4. Step 4: Simplify right side
    611,904x = 1,756,963,505,025
  5. Step 5: Solve for x
    x = 1,756,963,505,025/611,904
  6. Step 6: Final answer
    x = 2,871,305.80

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Why These Related Problems?

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