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Finding the Third Proportional to 723,014 and 1,120,874

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Solution

The third proportional to 723,014 and 1,120,874 is: 1,737,668.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,014 : 1,120,874 = 1,120,874 : x
  2. Step 2: Convert to fraction form
    723,014/1,120,874 = 1,120,874/x
  3. Step 3: Cross multiply
    723,014x = 1,120,874 × 1,120,874
  4. Step 4: Simplify right side
    723,014x = 1,256,358,523,876
  5. Step 5: Solve for x
    x = 1,256,358,523,876/723,014
  6. Step 6: Final answer
    x = 1,737,668.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.