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Finding the Third Proportional to 768,187.13 and 1,681,023.38

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Solution

The third proportional to 768,187.13 and 1,681,023.38 is: 3,678,582.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,187.13 : 1,681,023.38 = 1,681,023.38 : x
  2. Step 2: Convert to fraction form
    768,187.13/1,681,023.38 = 1,681,023.38/x
  3. Step 3: Cross multiply
    768,187.13x = 1,681,023.38 × 1,681,023.38
  4. Step 4: Simplify right side
    768,187.13x = 2,825,839,587,296.39
  5. Step 5: Solve for x
    x = 2,825,839,587,296.39/768,187.13
  6. Step 6: Final answer
    x = 3,678,582.33

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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.