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Finding the Third Proportional to 460,074.94 and 943,090.59

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Solution

The third proportional to 460,074.94 and 943,090.59 is: 1,933,206.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,074.94 : 943,090.59 = 943,090.59 : x
  2. Step 2: Convert to fraction form
    460,074.94/943,090.59 = 943,090.59/x
  3. Step 3: Cross multiply
    460,074.94x = 943,090.59 × 943,090.59
  4. Step 4: Simplify right side
    460,074.94x = 889,419,868,019.73
  5. Step 5: Solve for x
    x = 889,419,868,019.73/460,074.94
  6. Step 6: Final answer
    x = 1,933,206.52

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.