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Finding the Third Proportional to 1,205,173.69 and 1,634,934.38

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Solution

The third proportional to 1,205,173.69 and 1,634,934.38 is: 2,217,946.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,173.69 : 1,634,934.38 = 1,634,934.38 : x
  2. Step 2: Convert to fraction form
    1,205,173.69/1,634,934.38 = 1,634,934.38/x
  3. Step 3: Cross multiply
    1,205,173.69x = 1,634,934.38 × 1,634,934.38
  4. Step 4: Simplify right side
    1,205,173.69x = 2,673,010,410,556.64
  5. Step 5: Solve for x
    x = 2,673,010,410,556.64/1,205,173.69
  6. Step 6: Final answer
    x = 2,217,946.21

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.