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Finding the Third Proportional to 629,128 and 1,000,684

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Solution

The third proportional to 629,128 and 1,000,684 is: 1,591,676.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,128 : 1,000,684 = 1,000,684 : x
  2. Step 2: Convert to fraction form
    629,128/1,000,684 = 1,000,684/x
  3. Step 3: Cross multiply
    629,128x = 1,000,684 × 1,000,684
  4. Step 4: Simplify right side
    629,128x = 1,001,368,467,856
  5. Step 5: Solve for x
    x = 1,001,368,467,856/629,128
  6. Step 6: Final answer
    x = 1,591,676.84

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.