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Finding the Third Proportional to 629,370 and 1,370,763

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Solution

The third proportional to 629,370 and 1,370,763 is: 2,985,511.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,370 : 1,370,763 = 1,370,763 : x
  2. Step 2: Convert to fraction form
    629,370/1,370,763 = 1,370,763/x
  3. Step 3: Cross multiply
    629,370x = 1,370,763 × 1,370,763
  4. Step 4: Simplify right side
    629,370x = 1,878,991,202,169
  5. Step 5: Solve for x
    x = 1,878,991,202,169/629,370
  6. Step 6: Final answer
    x = 2,985,511.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.