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Finding the Third Proportional to 516,419.44 and 1,118,597.06

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Solution

The third proportional to 516,419.44 and 1,118,597.06 is: 2,422,951.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,419.44 : 1,118,597.06 = 1,118,597.06 : x
  2. Step 2: Convert to fraction form
    516,419.44/1,118,597.06 = 1,118,597.06/x
  3. Step 3: Cross multiply
    516,419.44x = 1,118,597.06 × 1,118,597.06
  4. Step 4: Simplify right side
    516,419.44x = 1,251,259,388,233.63
  5. Step 5: Solve for x
    x = 1,251,259,388,233.63/516,419.44
  6. Step 6: Final answer
    x = 2,422,951.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.