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Finding the Third Proportional to 691,653.94 and 1,047,132.56

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Solution

The third proportional to 691,653.94 and 1,047,132.56 is: 1,585,311.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,653.94 : 1,047,132.56 = 1,047,132.56 : x
  2. Step 2: Convert to fraction form
    691,653.94/1,047,132.56 = 1,047,132.56/x
  3. Step 3: Cross multiply
    691,653.94x = 1,047,132.56 × 1,047,132.56
  4. Step 4: Simplify right side
    691,653.94x = 1,096,486,603,447.82
  5. Step 5: Solve for x
    x = 1,096,486,603,447.82/691,653.94
  6. Step 6: Final answer
    x = 1,585,311.01

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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.