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Finding the Third Proportional to 632,369 and 1,370,551

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Solution

The third proportional to 632,369 and 1,370,551 is: 2,970,433.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,369 : 1,370,551 = 1,370,551 : x
  2. Step 2: Convert to fraction form
    632,369/1,370,551 = 1,370,551/x
  3. Step 3: Cross multiply
    632,369x = 1,370,551 × 1,370,551
  4. Step 4: Simplify right side
    632,369x = 1,878,410,043,601
  5. Step 5: Solve for x
    x = 1,878,410,043,601/632,369
  6. Step 6: Final answer
    x = 2,970,433.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.