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Finding the Third Proportional to 745,914 and 1,147,185

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Solution

The third proportional to 745,914 and 1,147,185 is: 1,764,323.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,914 : 1,147,185 = 1,147,185 : x
  2. Step 2: Convert to fraction form
    745,914/1,147,185 = 1,147,185/x
  3. Step 3: Cross multiply
    745,914x = 1,147,185 × 1,147,185
  4. Step 4: Simplify right side
    745,914x = 1,316,033,424,225
  5. Step 5: Solve for x
    x = 1,316,033,424,225/745,914
  6. Step 6: Final answer
    x = 1,764,323.27

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.