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Finding the Third Proportional to 521,204.63 and 1,142,054.44

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Solution

The third proportional to 521,204.63 and 1,142,054.44 is: 2,502,449.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,204.63 : 1,142,054.44 = 1,142,054.44 : x
  2. Step 2: Convert to fraction form
    521,204.63/1,142,054.44 = 1,142,054.44/x
  3. Step 3: Cross multiply
    521,204.63x = 1,142,054.44 × 1,142,054.44
  4. Step 4: Simplify right side
    521,204.63x = 1,304,288,338,213.44
  5. Step 5: Solve for x
    x = 1,304,288,338,213.44/521,204.63
  6. Step 6: Final answer
    x = 2,502,449.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.