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Finding the Third Proportional to 825,116.25 and 1,312,923

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Solution

The third proportional to 825,116.25 and 1,312,923 is: 2,089,119.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,116.25 : 1,312,923 = 1,312,923 : x
  2. Step 2: Convert to fraction form
    825,116.25/1,312,923 = 1,312,923/x
  3. Step 3: Cross multiply
    825,116.25x = 1,312,923 × 1,312,923
  4. Step 4: Simplify right side
    825,116.25x = 1,723,766,803,929
  5. Step 5: Solve for x
    x = 1,723,766,803,929/825,116.25
  6. Step 6: Final answer
    x = 2,089,119.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.