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Finding the Third Proportional to 777,838 and 1,199,944

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Solution

The third proportional to 777,838 and 1,199,944 is: 1,851,112.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,838 : 1,199,944 = 1,199,944 : x
  2. Step 2: Convert to fraction form
    777,838/1,199,944 = 1,199,944/x
  3. Step 3: Cross multiply
    777,838x = 1,199,944 × 1,199,944
  4. Step 4: Simplify right side
    777,838x = 1,439,865,603,136
  5. Step 5: Solve for x
    x = 1,439,865,603,136/777,838
  6. Step 6: Final answer
    x = 1,851,112.45

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.