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Finding the Third Proportional to 688,128.75 and 1,619,033.06

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Solution

The third proportional to 688,128.75 and 1,619,033.06 is: 3,809,269.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,128.75 : 1,619,033.06 = 1,619,033.06 : x
  2. Step 2: Convert to fraction form
    688,128.75/1,619,033.06 = 1,619,033.06/x
  3. Step 3: Cross multiply
    688,128.75x = 1,619,033.06 × 1,619,033.06
  4. Step 4: Simplify right side
    688,128.75x = 2,621,268,057,468.13
  5. Step 5: Solve for x
    x = 2,621,268,057,468.13/688,128.75
  6. Step 6: Final answer
    x = 3,809,269.79

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.