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Finding the Third Proportional to 774,766 and 1,678,214

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Solution

The third proportional to 774,766 and 1,678,214 is: 3,635,164.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,766 : 1,678,214 = 1,678,214 : x
  2. Step 2: Convert to fraction form
    774,766/1,678,214 = 1,678,214/x
  3. Step 3: Cross multiply
    774,766x = 1,678,214 × 1,678,214
  4. Step 4: Simplify right side
    774,766x = 2,816,402,229,796
  5. Step 5: Solve for x
    x = 2,816,402,229,796/774,766
  6. Step 6: Final answer
    x = 3,635,164.98

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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.