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Finding the Third Proportional to 743,006 and 1,147,992

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Solution

The third proportional to 743,006 and 1,147,992 is: 1,773,721.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,006 : 1,147,992 = 1,147,992 : x
  2. Step 2: Convert to fraction form
    743,006/1,147,992 = 1,147,992/x
  3. Step 3: Cross multiply
    743,006x = 1,147,992 × 1,147,992
  4. Step 4: Simplify right side
    743,006x = 1,317,885,632,064
  5. Step 5: Solve for x
    x = 1,317,885,632,064/743,006
  6. Step 6: Final answer
    x = 1,773,721.39

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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.