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Finding the Third Proportional to 1,299,544 and 2,039,064

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Solution

The third proportional to 1,299,544 and 2,039,064 is: 3,199,416.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,544 : 2,039,064 = 2,039,064 : x
  2. Step 2: Convert to fraction form
    1,299,544/2,039,064 = 2,039,064/x
  3. Step 3: Cross multiply
    1,299,544x = 2,039,064 × 2,039,064
  4. Step 4: Simplify right side
    1,299,544x = 4,157,781,996,096
  5. Step 5: Solve for x
    x = 4,157,781,996,096/1,299,544
  6. Step 6: Final answer
    x = 3,199,416.10

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.