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Finding the Third Proportional to 980,808.75 and 1,476,869.63

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Solution

The third proportional to 980,808.75 and 1,476,869.63 is: 2,223,821.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,808.75 : 1,476,869.63 = 1,476,869.63 : x
  2. Step 2: Convert to fraction form
    980,808.75/1,476,869.63 = 1,476,869.63/x
  3. Step 3: Cross multiply
    980,808.75x = 1,476,869.63 × 1,476,869.63
  4. Step 4: Simplify right side
    980,808.75x = 2,181,143,889,247.64
  5. Step 5: Solve for x
    x = 2,181,143,889,247.64/980,808.75
  6. Step 6: Final answer
    x = 2,223,821.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.