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Finding the Third Proportional to 634,648 and 1,321,904

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Solution

The third proportional to 634,648 and 1,321,904 is: 2,753,384.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,648 : 1,321,904 = 1,321,904 : x
  2. Step 2: Convert to fraction form
    634,648/1,321,904 = 1,321,904/x
  3. Step 3: Cross multiply
    634,648x = 1,321,904 × 1,321,904
  4. Step 4: Simplify right side
    634,648x = 1,747,430,185,216
  5. Step 5: Solve for x
    x = 1,747,430,185,216/634,648
  6. Step 6: Final answer
    x = 2,753,384.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.