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Finding the Third Proportional to 605,286 and 936,639

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Solution

The third proportional to 605,286 and 936,639 is: 1,449,385.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,286 : 936,639 = 936,639 : x
  2. Step 2: Convert to fraction form
    605,286/936,639 = 936,639/x
  3. Step 3: Cross multiply
    605,286x = 936,639 × 936,639
  4. Step 4: Simplify right side
    605,286x = 877,292,616,321
  5. Step 5: Solve for x
    x = 877,292,616,321/605,286
  6. Step 6: Final answer
    x = 1,449,385.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.