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Finding the Third Proportional to 498,216 and 1,089,948

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Solution

The third proportional to 498,216 and 1,089,948 is: 2,384,481.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,216 : 1,089,948 = 1,089,948 : x
  2. Step 2: Convert to fraction form
    498,216/1,089,948 = 1,089,948/x
  3. Step 3: Cross multiply
    498,216x = 1,089,948 × 1,089,948
  4. Step 4: Simplify right side
    498,216x = 1,187,986,642,704
  5. Step 5: Solve for x
    x = 1,187,986,642,704/498,216
  6. Step 6: Final answer
    x = 2,384,481.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.