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Finding the Third Proportional to 770,422 and 1,856,015

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Solution

The third proportional to 770,422 and 1,856,015 is: 4,471,304.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,422 : 1,856,015 = 1,856,015 : x
  2. Step 2: Convert to fraction form
    770,422/1,856,015 = 1,856,015/x
  3. Step 3: Cross multiply
    770,422x = 1,856,015 × 1,856,015
  4. Step 4: Simplify right side
    770,422x = 3,444,791,680,225
  5. Step 5: Solve for x
    x = 3,444,791,680,225/770,422
  6. Step 6: Final answer
    x = 4,471,304.92

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.