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Finding the Third Proportional to 772,757.81 and 1,659,779.63

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Solution

The third proportional to 772,757.81 and 1,659,779.63 is: 3,564,982.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,757.81 : 1,659,779.63 = 1,659,779.63 : x
  2. Step 2: Convert to fraction form
    772,757.81/1,659,779.63 = 1,659,779.63/x
  3. Step 3: Cross multiply
    772,757.81x = 1,659,779.63 × 1,659,779.63
  4. Step 4: Simplify right side
    772,757.81x = 2,754,868,403,565.14
  5. Step 5: Solve for x
    x = 2,754,868,403,565.14/772,757.81
  6. Step 6: Final answer
    x = 3,564,982.92

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.