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Finding the Third Proportional to 770,033 and 1,185,120

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Solution

The third proportional to 770,033 and 1,185,120 is: 1,823,960.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,033 : 1,185,120 = 1,185,120 : x
  2. Step 2: Convert to fraction form
    770,033/1,185,120 = 1,185,120/x
  3. Step 3: Cross multiply
    770,033x = 1,185,120 × 1,185,120
  4. Step 4: Simplify right side
    770,033x = 1,404,509,414,400
  5. Step 5: Solve for x
    x = 1,404,509,414,400/770,033
  6. Step 6: Final answer
    x = 1,823,960.03

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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.