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Finding the Third Proportional to 969,375.38 and 1,358,403.75

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Solution

The third proportional to 969,375.38 and 1,358,403.75 is: 1,903,556.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,375.38 : 1,358,403.75 = 1,358,403.75 : x
  2. Step 2: Convert to fraction form
    969,375.38/1,358,403.75 = 1,358,403.75/x
  3. Step 3: Cross multiply
    969,375.38x = 1,358,403.75 × 1,358,403.75
  4. Step 4: Simplify right side
    969,375.38x = 1,845,260,748,014.06
  5. Step 5: Solve for x
    x = 1,845,260,748,014.06/969,375.38
  6. Step 6: Final answer
    x = 1,903,556.45

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.