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Finding the Third Proportional to 759,076.75 and 1,571,866.50

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Solution

The third proportional to 759,076.75 and 1,571,866.50 is: 3,254,959.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,076.75 : 1,571,866.50 = 1,571,866.50 : x
  2. Step 2: Convert to fraction form
    759,076.75/1,571,866.50 = 1,571,866.50/x
  3. Step 3: Cross multiply
    759,076.75x = 1,571,866.50 × 1,571,866.50
  4. Step 4: Simplify right side
    759,076.75x = 2,470,764,293,822.25
  5. Step 5: Solve for x
    x = 2,470,764,293,822.25/759,076.75
  6. Step 6: Final answer
    x = 3,254,959.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.