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Finding the Third Proportional to 770,069 and 1,185,176

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Solution

The third proportional to 770,069 and 1,185,176 is: 1,824,047.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,069 : 1,185,176 = 1,185,176 : x
  2. Step 2: Convert to fraction form
    770,069/1,185,176 = 1,185,176/x
  3. Step 3: Cross multiply
    770,069x = 1,185,176 × 1,185,176
  4. Step 4: Simplify right side
    770,069x = 1,404,642,150,976
  5. Step 5: Solve for x
    x = 1,404,642,150,976/770,069
  6. Step 6: Final answer
    x = 1,824,047.13

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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.