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Finding the Third Proportional to 629,010 and 1,358,136

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Solution

The third proportional to 629,010 and 1,358,136 is: 2,932,438.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,010 : 1,358,136 = 1,358,136 : x
  2. Step 2: Convert to fraction form
    629,010/1,358,136 = 1,358,136/x
  3. Step 3: Cross multiply
    629,010x = 1,358,136 × 1,358,136
  4. Step 4: Simplify right side
    629,010x = 1,844,533,394,496
  5. Step 5: Solve for x
    x = 1,844,533,394,496/629,010
  6. Step 6: Final answer
    x = 2,932,438.90

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Why These Related Problems?

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