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Finding the Third Proportional to 788,832 and 1,203,696

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Solution

The third proportional to 788,832 and 1,203,696 is: 1,836,746.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,832 : 1,203,696 = 1,203,696 : x
  2. Step 2: Convert to fraction form
    788,832/1,203,696 = 1,203,696/x
  3. Step 3: Cross multiply
    788,832x = 1,203,696 × 1,203,696
  4. Step 4: Simplify right side
    788,832x = 1,448,884,060,416
  5. Step 5: Solve for x
    x = 1,448,884,060,416/788,832
  6. Step 6: Final answer
    x = 1,836,746.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.