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Finding the Third Proportional to 689,656.78 and 1,503,465.68

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Solution

The third proportional to 689,656.78 and 1,503,465.68 is: 3,277,585.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,656.78 : 1,503,465.68 = 1,503,465.68 : x
  2. Step 2: Convert to fraction form
    689,656.78/1,503,465.68 = 1,503,465.68/x
  3. Step 3: Cross multiply
    689,656.78x = 1,503,465.68 × 1,503,465.68
  4. Step 4: Simplify right side
    689,656.78x = 2,260,409,049,998.20
  5. Step 5: Solve for x
    x = 2,260,409,049,998.20/689,656.78
  6. Step 6: Final answer
    x = 3,277,585.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.