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Finding the Third Proportional to 500,488 and 1,089,104

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Solution

The third proportional to 500,488 and 1,089,104 is: 2,369,981.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,488 : 1,089,104 = 1,089,104 : x
  2. Step 2: Convert to fraction form
    500,488/1,089,104 = 1,089,104/x
  3. Step 3: Cross multiply
    500,488x = 1,089,104 × 1,089,104
  4. Step 4: Simplify right side
    500,488x = 1,186,147,522,816
  5. Step 5: Solve for x
    x = 1,186,147,522,816/500,488
  6. Step 6: Final answer
    x = 2,369,981.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.