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Finding the Third Proportional to 505,384 and 1,089,492

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Solution

The third proportional to 505,384 and 1,089,492 is: 2,348,694.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,384 : 1,089,492 = 1,089,492 : x
  2. Step 2: Convert to fraction form
    505,384/1,089,492 = 1,089,492/x
  3. Step 3: Cross multiply
    505,384x = 1,089,492 × 1,089,492
  4. Step 4: Simplify right side
    505,384x = 1,186,992,818,064
  5. Step 5: Solve for x
    x = 1,186,992,818,064/505,384
  6. Step 6: Final answer
    x = 2,348,694.89

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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.