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Finding the Third Proportional to 629,018 and 1,358,164

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Solution

The third proportional to 629,018 and 1,358,164 is: 2,932,522.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,018 : 1,358,164 = 1,358,164 : x
  2. Step 2: Convert to fraction form
    629,018/1,358,164 = 1,358,164/x
  3. Step 3: Cross multiply
    629,018x = 1,358,164 × 1,358,164
  4. Step 4: Simplify right side
    629,018x = 1,844,609,450,896
  5. Step 5: Solve for x
    x = 1,844,609,450,896/629,018
  6. Step 6: Final answer
    x = 2,932,522.52

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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.