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Finding the Third Proportional to 578,884 and 1,234,232

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Solution

The third proportional to 578,884 and 1,234,232 is: 2,631,492.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,884 : 1,234,232 = 1,234,232 : x
  2. Step 2: Convert to fraction form
    578,884/1,234,232 = 1,234,232/x
  3. Step 3: Cross multiply
    578,884x = 1,234,232 × 1,234,232
  4. Step 4: Simplify right side
    578,884x = 1,523,328,629,824
  5. Step 5: Solve for x
    x = 1,523,328,629,824/578,884
  6. Step 6: Final answer
    x = 2,631,492.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.