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Finding the Third Proportional to 684,419.94 and 1,584,390.38

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Solution

The third proportional to 684,419.94 and 1,584,390.38 is: 3,667,766.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,419.94 : 1,584,390.38 = 1,584,390.38 : x
  2. Step 2: Convert to fraction form
    684,419.94/1,584,390.38 = 1,584,390.38/x
  3. Step 3: Cross multiply
    684,419.94x = 1,584,390.38 × 1,584,390.38
  4. Step 4: Simplify right side
    684,419.94x = 2,510,292,860,392.64
  5. Step 5: Solve for x
    x = 2,510,292,860,392.64/684,419.94
  6. Step 6: Final answer
    x = 3,667,766.98

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.