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Finding the Third Proportional to 684,414.56 and 1,584,378.56

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Solution

The third proportional to 684,414.56 and 1,584,378.56 is: 3,667,741.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,414.56 : 1,584,378.56 = 1,584,378.56 : x
  2. Step 2: Convert to fraction form
    684,414.56/1,584,378.56 = 1,584,378.56/x
  3. Step 3: Cross multiply
    684,414.56x = 1,584,378.56 × 1,584,378.56
  4. Step 4: Simplify right side
    684,414.56x = 2,510,255,429,309.57
  5. Step 5: Solve for x
    x = 2,510,255,429,309.57/684,414.56
  6. Step 6: Final answer
    x = 3,667,741.11

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Why These Related Problems?

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