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Finding the Third Proportional to 774,772 and 1,678,226

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Solution

The third proportional to 774,772 and 1,678,226 is: 3,635,188.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,772 : 1,678,226 = 1,678,226 : x
  2. Step 2: Convert to fraction form
    774,772/1,678,226 = 1,678,226/x
  3. Step 3: Cross multiply
    774,772x = 1,678,226 × 1,678,226
  4. Step 4: Simplify right side
    774,772x = 2,816,442,507,076
  5. Step 5: Solve for x
    x = 2,816,442,507,076/774,772
  6. Step 6: Final answer
    x = 3,635,188.81

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Why These Related Problems?

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