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Finding the Third Proportional to 491,030 and 1,057,104

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Solution

The third proportional to 491,030 and 1,057,104 is: 2,275,764.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,030 : 1,057,104 = 1,057,104 : x
  2. Step 2: Convert to fraction form
    491,030/1,057,104 = 1,057,104/x
  3. Step 3: Cross multiply
    491,030x = 1,057,104 × 1,057,104
  4. Step 4: Simplify right side
    491,030x = 1,117,468,866,816
  5. Step 5: Solve for x
    x = 1,117,468,866,816/491,030
  6. Step 6: Final answer
    x = 2,275,764.96

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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.