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Finding the Third Proportional to 1,185,006 and 1,787,965.50

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Solution

The third proportional to 1,185,006 and 1,787,965.50 is: 2,697,725.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185,006 : 1,787,965.50 = 1,787,965.50 : x
  2. Step 2: Convert to fraction form
    1,185,006/1,787,965.50 = 1,787,965.50/x
  3. Step 3: Cross multiply
    1,185,006x = 1,787,965.50 × 1,787,965.50
  4. Step 4: Simplify right side
    1,185,006x = 3,196,820,629,190.25
  5. Step 5: Solve for x
    x = 3,196,820,629,190.25/1,185,006
  6. Step 6: Final answer
    x = 2,697,725.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.