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Finding the Third Proportional to 771,696 and 1,194,768

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Solution

The third proportional to 771,696 and 1,194,768 is: 1,849,783.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,696 : 1,194,768 = 1,194,768 : x
  2. Step 2: Convert to fraction form
    771,696/1,194,768 = 1,194,768/x
  3. Step 3: Cross multiply
    771,696x = 1,194,768 × 1,194,768
  4. Step 4: Simplify right side
    771,696x = 1,427,470,573,824
  5. Step 5: Solve for x
    x = 1,427,470,573,824/771,696
  6. Step 6: Final answer
    x = 1,849,783.56

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