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Finding the Third Proportional to 713,876 and 1,147,998

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Solution

The third proportional to 713,876 and 1,147,998 is: 1,846,118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,876 : 1,147,998 = 1,147,998 : x
  2. Step 2: Convert to fraction form
    713,876/1,147,998 = 1,147,998/x
  3. Step 3: Cross multiply
    713,876x = 1,147,998 × 1,147,998
  4. Step 4: Simplify right side
    713,876x = 1,317,899,408,004
  5. Step 5: Solve for x
    x = 1,317,899,408,004/713,876
  6. Step 6: Final answer
    x = 1,846,118.10

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.