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Finding the Third Proportional to 629,217 and 1,363,410

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Solution

The third proportional to 629,217 and 1,363,410 is: 2,954,285.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,217 : 1,363,410 = 1,363,410 : x
  2. Step 2: Convert to fraction form
    629,217/1,363,410 = 1,363,410/x
  3. Step 3: Cross multiply
    629,217x = 1,363,410 × 1,363,410
  4. Step 4: Simplify right side
    629,217x = 1,858,886,828,100
  5. Step 5: Solve for x
    x = 1,858,886,828,100/629,217
  6. Step 6: Final answer
    x = 2,954,285.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.