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Finding the Third Proportional to 629,280 and 1,358,736

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Solution

The third proportional to 629,280 and 1,358,736 is: 2,933,771.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,280 : 1,358,736 = 1,358,736 : x
  2. Step 2: Convert to fraction form
    629,280/1,358,736 = 1,358,736/x
  3. Step 3: Cross multiply
    629,280x = 1,358,736 × 1,358,736
  4. Step 4: Simplify right side
    629,280x = 1,846,163,517,696
  5. Step 5: Solve for x
    x = 1,846,163,517,696/629,280
  6. Step 6: Final answer
    x = 2,933,771.16

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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.