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Finding the Third Proportional to 904,056.75 and 1,400,735.25

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Solution

The third proportional to 904,056.75 and 1,400,735.25 is: 2,170,283.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,056.75 : 1,400,735.25 = 1,400,735.25 : x
  2. Step 2: Convert to fraction form
    904,056.75/1,400,735.25 = 1,400,735.25/x
  3. Step 3: Cross multiply
    904,056.75x = 1,400,735.25 × 1,400,735.25
  4. Step 4: Simplify right side
    904,056.75x = 1,962,059,240,592.56
  5. Step 5: Solve for x
    x = 1,962,059,240,592.56/904,056.75
  6. Step 6: Final answer
    x = 2,170,283.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.