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Finding the Third Proportional to 776,378 and 1,185,303

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Solution

The third proportional to 776,378 and 1,185,303 is: 1,809,612.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,378 : 1,185,303 = 1,185,303 : x
  2. Step 2: Convert to fraction form
    776,378/1,185,303 = 1,185,303/x
  3. Step 3: Cross multiply
    776,378x = 1,185,303 × 1,185,303
  4. Step 4: Simplify right side
    776,378x = 1,404,943,201,809
  5. Step 5: Solve for x
    x = 1,404,943,201,809/776,378
  6. Step 6: Final answer
    x = 1,809,612.33

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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.