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Finding the Third Proportional to 774,779 and 1,678,243

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Solution

The third proportional to 774,779 and 1,678,243 is: 3,635,229.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,779 : 1,678,243 = 1,678,243 : x
  2. Step 2: Convert to fraction form
    774,779/1,678,243 = 1,678,243/x
  3. Step 3: Cross multiply
    774,779x = 1,678,243 × 1,678,243
  4. Step 4: Simplify right side
    774,779x = 2,816,499,567,049
  5. Step 5: Solve for x
    x = 2,816,499,567,049/774,779
  6. Step 6: Final answer
    x = 3,635,229.62

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