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Finding the Third Proportional to 777,726 and 1,199,754

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Solution

The third proportional to 777,726 and 1,199,754 is: 1,850,792.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,726 : 1,199,754 = 1,199,754 : x
  2. Step 2: Convert to fraction form
    777,726/1,199,754 = 1,199,754/x
  3. Step 3: Cross multiply
    777,726x = 1,199,754 × 1,199,754
  4. Step 4: Simplify right side
    777,726x = 1,439,409,660,516
  5. Step 5: Solve for x
    x = 1,439,409,660,516/777,726
  6. Step 6: Final answer
    x = 1,850,792.77

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Why These Related Problems?

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