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Finding the Third Proportional to 774,462 and 1,641,226

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Solution

The third proportional to 774,462 and 1,641,226 is: 3,478,056.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,462 : 1,641,226 = 1,641,226 : x
  2. Step 2: Convert to fraction form
    774,462/1,641,226 = 1,641,226/x
  3. Step 3: Cross multiply
    774,462x = 1,641,226 × 1,641,226
  4. Step 4: Simplify right side
    774,462x = 2,693,622,783,076
  5. Step 5: Solve for x
    x = 2,693,622,783,076/774,462
  6. Step 6: Final answer
    x = 3,478,056.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.