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Finding the Third Proportional to 948,733.59 and 2,082,048.47

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Solution

The third proportional to 948,733.59 and 2,082,048.47 is: 4,569,170.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,733.59 : 2,082,048.47 = 2,082,048.47 : x
  2. Step 2: Convert to fraction form
    948,733.59/2,082,048.47 = 2,082,048.47/x
  3. Step 3: Cross multiply
    948,733.59x = 2,082,048.47 × 2,082,048.47
  4. Step 4: Simplify right side
    948,733.59x = 4,334,925,826,224.22
  5. Step 5: Solve for x
    x = 4,334,925,826,224.22/948,733.59
  6. Step 6: Final answer
    x = 4,569,170.79

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Why These Related Problems?

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