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Finding the Third Proportional to 505,374 and 1,089,474

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Solution

The third proportional to 505,374 and 1,089,474 is: 2,348,663.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,374 : 1,089,474 = 1,089,474 : x
  2. Step 2: Convert to fraction form
    505,374/1,089,474 = 1,089,474/x
  3. Step 3: Cross multiply
    505,374x = 1,089,474 × 1,089,474
  4. Step 4: Simplify right side
    505,374x = 1,186,953,596,676
  5. Step 5: Solve for x
    x = 1,186,953,596,676/505,374
  6. Step 6: Final answer
    x = 2,348,663.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.