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Finding the Third Proportional to 688,130.44 and 1,619,036.44

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Solution

The third proportional to 688,130.44 and 1,619,036.44 is: 3,809,276.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,130.44 : 1,619,036.44 = 1,619,036.44 : x
  2. Step 2: Convert to fraction form
    688,130.44/1,619,036.44 = 1,619,036.44/x
  3. Step 3: Cross multiply
    688,130.44x = 1,619,036.44 × 1,619,036.44
  4. Step 4: Simplify right side
    688,130.44x = 2,621,278,985,952.69
  5. Step 5: Solve for x
    x = 2,621,278,985,952.69/688,130.44
  6. Step 6: Final answer
    x = 3,809,276.33

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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.