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Finding the Third Proportional to 1,029,821 and 2,242,717

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Solution

The third proportional to 1,029,821 and 2,242,717 is: 4,884,129.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,821 : 2,242,717 = 2,242,717 : x
  2. Step 2: Convert to fraction form
    1,029,821/2,242,717 = 2,242,717/x
  3. Step 3: Cross multiply
    1,029,821x = 2,242,717 × 2,242,717
  4. Step 4: Simplify right side
    1,029,821x = 5,029,779,542,089
  5. Step 5: Solve for x
    x = 5,029,779,542,089/1,029,821
  6. Step 6: Final answer
    x = 4,884,129.90

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.