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Finding the Third Proportional to 745,910 and 1,147,179

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Solution

The third proportional to 745,910 and 1,147,179 is: 1,764,314.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,910 : 1,147,179 = 1,147,179 : x
  2. Step 2: Convert to fraction form
    745,910/1,147,179 = 1,147,179/x
  3. Step 3: Cross multiply
    745,910x = 1,147,179 × 1,147,179
  4. Step 4: Simplify right side
    745,910x = 1,316,019,658,041
  5. Step 5: Solve for x
    x = 1,316,019,658,041/745,910
  6. Step 6: Final answer
    x = 1,764,314.27

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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.