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Finding the Third Proportional to 505,420 and 1,089,564

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Solution

The third proportional to 505,420 and 1,089,564 is: 2,348,838.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,420 : 1,089,564 = 1,089,564 : x
  2. Step 2: Convert to fraction form
    505,420/1,089,564 = 1,089,564/x
  3. Step 3: Cross multiply
    505,420x = 1,089,564 × 1,089,564
  4. Step 4: Simplify right side
    505,420x = 1,187,149,710,096
  5. Step 5: Solve for x
    x = 1,187,149,710,096/505,420
  6. Step 6: Final answer
    x = 2,348,838.02

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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.