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Finding the Third Proportional to 924,054.75 and 1,382,322.38

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Solution

The third proportional to 924,054.75 and 1,382,322.38 is: 2,067,859.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,054.75 : 1,382,322.38 = 1,382,322.38 : x
  2. Step 2: Convert to fraction form
    924,054.75/1,382,322.38 = 1,382,322.38/x
  3. Step 3: Cross multiply
    924,054.75x = 1,382,322.38 × 1,382,322.38
  4. Step 4: Simplify right side
    924,054.75x = 1,910,815,148,425.64
  5. Step 5: Solve for x
    x = 1,910,815,148,425.64/924,054.75
  6. Step 6: Final answer
    x = 2,067,859.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.