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Finding the Third Proportional to 536,082.56 and 1,100,702.63

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Solution

The third proportional to 536,082.56 and 1,100,702.63 is: 2,259,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,082.56 : 1,100,702.63 = 1,100,702.63 : x
  2. Step 2: Convert to fraction form
    536,082.56/1,100,702.63 = 1,100,702.63/x
  3. Step 3: Cross multiply
    536,082.56x = 1,100,702.63 × 1,100,702.63
  4. Step 4: Simplify right side
    536,082.56x = 1,211,546,268,681.89
  5. Step 5: Solve for x
    x = 1,211,546,268,681.89/536,082.56
  6. Step 6: Final answer
    x = 2,259,999.40

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Why These Related Problems?

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