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Finding the Third Proportional to 809,865.84 and 1,772,274.94

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Solution

The third proportional to 809,865.84 and 1,772,274.94 is: 3,878,368.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,865.84 : 1,772,274.94 = 1,772,274.94 : x
  2. Step 2: Convert to fraction form
    809,865.84/1,772,274.94 = 1,772,274.94/x
  3. Step 3: Cross multiply
    809,865.84x = 1,772,274.94 × 1,772,274.94
  4. Step 4: Simplify right side
    809,865.84x = 3,140,958,454,090.63
  5. Step 5: Solve for x
    x = 3,140,958,454,090.63/809,865.84
  6. Step 6: Final answer
    x = 3,878,368.84

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