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Finding the Third Proportional to 722,560 and 1,673,232

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Solution

The third proportional to 722,560 and 1,673,232 is: 3,874,702.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,560 : 1,673,232 = 1,673,232 : x
  2. Step 2: Convert to fraction form
    722,560/1,673,232 = 1,673,232/x
  3. Step 3: Cross multiply
    722,560x = 1,673,232 × 1,673,232
  4. Step 4: Simplify right side
    722,560x = 2,799,705,325,824
  5. Step 5: Solve for x
    x = 2,799,705,325,824/722,560
  6. Step 6: Final answer
    x = 3,874,702.90

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.