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Finding the Third Proportional to 612,086.63 and 965,082.09

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Solution

The third proportional to 612,086.63 and 965,082.09 is: 1,521,653.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,086.63 : 965,082.09 = 965,082.09 : x
  2. Step 2: Convert to fraction form
    612,086.63/965,082.09 = 965,082.09/x
  3. Step 3: Cross multiply
    612,086.63x = 965,082.09 × 965,082.09
  4. Step 4: Simplify right side
    612,086.63x = 931,383,447,676.88
  5. Step 5: Solve for x
    x = 931,383,447,676.88/612,086.63
  6. Step 6: Final answer
    x = 1,521,653.00

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.