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Finding the Third Proportional to 644,584.13 and 1,366,007.63

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Solution

The third proportional to 644,584.13 and 1,366,007.63 is: 2,894,853.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,584.13 : 1,366,007.63 = 1,366,007.63 : x
  2. Step 2: Convert to fraction form
    644,584.13/1,366,007.63 = 1,366,007.63/x
  3. Step 3: Cross multiply
    644,584.13x = 1,366,007.63 × 1,366,007.63
  4. Step 4: Simplify right side
    644,584.13x = 1,865,976,831,558.14
  5. Step 5: Solve for x
    x = 1,865,976,831,558.14/644,584.13
  6. Step 6: Final answer
    x = 2,894,853.84

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