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Finding the Third Proportional to 677,823 and 1,467,237

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Solution

The third proportional to 677,823 and 1,467,237 is: 3,176,027.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,823 : 1,467,237 = 1,467,237 : x
  2. Step 2: Convert to fraction form
    677,823/1,467,237 = 1,467,237/x
  3. Step 3: Cross multiply
    677,823x = 1,467,237 × 1,467,237
  4. Step 4: Simplify right side
    677,823x = 2,152,784,414,169
  5. Step 5: Solve for x
    x = 2,152,784,414,169/677,823
  6. Step 6: Final answer
    x = 3,176,027.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.