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Finding the Third Proportional to 505,464 and 1,089,264

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Solution

The third proportional to 505,464 and 1,089,264 is: 2,347,340.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,464 : 1,089,264 = 1,089,264 : x
  2. Step 2: Convert to fraction form
    505,464/1,089,264 = 1,089,264/x
  3. Step 3: Cross multiply
    505,464x = 1,089,264 × 1,089,264
  4. Step 4: Simplify right side
    505,464x = 1,186,496,061,696
  5. Step 5: Solve for x
    x = 1,186,496,061,696/505,464
  6. Step 6: Final answer
    x = 2,347,340.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.