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Finding the Third Proportional to 946,748.25 and 1,431,452.25

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Solution

The third proportional to 946,748.25 and 1,431,452.25 is: 2,164,308.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,748.25 : 1,431,452.25 = 1,431,452.25 : x
  2. Step 2: Convert to fraction form
    946,748.25/1,431,452.25 = 1,431,452.25/x
  3. Step 3: Cross multiply
    946,748.25x = 1,431,452.25 × 1,431,452.25
  4. Step 4: Simplify right side
    946,748.25x = 2,049,055,544,030.06
  5. Step 5: Solve for x
    x = 2,049,055,544,030.06/946,748.25
  6. Step 6: Final answer
    x = 2,164,308.77

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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.