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Finding the Third Proportional to 629,368 and 1,347,728

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Solution

The third proportional to 629,368 and 1,347,728 is: 2,886,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,368 : 1,347,728 = 1,347,728 : x
  2. Step 2: Convert to fraction form
    629,368/1,347,728 = 1,347,728/x
  3. Step 3: Cross multiply
    629,368x = 1,347,728 × 1,347,728
  4. Step 4: Simplify right side
    629,368x = 1,816,370,761,984
  5. Step 5: Solve for x
    x = 1,816,370,761,984/629,368
  6. Step 6: Final answer
    x = 2,886,023.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.