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Finding the Third Proportional to 770,420 and 1,856,010

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Solution

The third proportional to 770,420 and 1,856,010 is: 4,471,292.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,420 : 1,856,010 = 1,856,010 : x
  2. Step 2: Convert to fraction form
    770,420/1,856,010 = 1,856,010/x
  3. Step 3: Cross multiply
    770,420x = 1,856,010 × 1,856,010
  4. Step 4: Simplify right side
    770,420x = 3,444,773,120,100
  5. Step 5: Solve for x
    x = 3,444,773,120,100/770,420
  6. Step 6: Final answer
    x = 4,471,292.44

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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.