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Finding the Third Proportional to 719,329 and 1,074,051

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Solution

The third proportional to 719,329 and 1,074,051 is: 1,603,696.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,329 : 1,074,051 = 1,074,051 : x
  2. Step 2: Convert to fraction form
    719,329/1,074,051 = 1,074,051/x
  3. Step 3: Cross multiply
    719,329x = 1,074,051 × 1,074,051
  4. Step 4: Simplify right side
    719,329x = 1,153,585,550,601
  5. Step 5: Solve for x
    x = 1,153,585,550,601/719,329
  6. Step 6: Final answer
    x = 1,603,696.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.