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Finding the Third Proportional to 692,111.25 and 1,047,390.75

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Solution

The third proportional to 692,111.25 and 1,047,390.75 is: 1,585,044.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,111.25 : 1,047,390.75 = 1,047,390.75 : x
  2. Step 2: Convert to fraction form
    692,111.25/1,047,390.75 = 1,047,390.75/x
  3. Step 3: Cross multiply
    692,111.25x = 1,047,390.75 × 1,047,390.75
  4. Step 4: Simplify right side
    692,111.25x = 1,097,027,383,185.56
  5. Step 5: Solve for x
    x = 1,097,027,383,185.56/692,111.25
  6. Step 6: Final answer
    x = 1,585,044.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.