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Finding the Third Proportional to 861,942 and 1,364,172

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Solution

The third proportional to 861,942 and 1,364,172 is: 2,159,037.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,942 : 1,364,172 = 1,364,172 : x
  2. Step 2: Convert to fraction form
    861,942/1,364,172 = 1,364,172/x
  3. Step 3: Cross multiply
    861,942x = 1,364,172 × 1,364,172
  4. Step 4: Simplify right side
    861,942x = 1,860,965,245,584
  5. Step 5: Solve for x
    x = 1,860,965,245,584/861,942
  6. Step 6: Final answer
    x = 2,159,037.67

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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.