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Finding the Third Proportional to 1,365,954 and 2,004,643.50

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Solution

The third proportional to 1,365,954 and 2,004,643.50 is: 2,941,969.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365,954 : 2,004,643.50 = 2,004,643.50 : x
  2. Step 2: Convert to fraction form
    1,365,954/2,004,643.50 = 2,004,643.50/x
  3. Step 3: Cross multiply
    1,365,954x = 2,004,643.50 × 2,004,643.50
  4. Step 4: Simplify right side
    1,365,954x = 4,018,595,562,092.25
  5. Step 5: Solve for x
    x = 4,018,595,562,092.25/1,365,954
  6. Step 6: Final answer
    x = 2,941,969.91

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.