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Finding the Third Proportional to 536,430 and 1,159,975

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Solution

The third proportional to 536,430 and 1,159,975 is: 2,508,327.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,430 : 1,159,975 = 1,159,975 : x
  2. Step 2: Convert to fraction form
    536,430/1,159,975 = 1,159,975/x
  3. Step 3: Cross multiply
    536,430x = 1,159,975 × 1,159,975
  4. Step 4: Simplify right side
    536,430x = 1,345,542,000,625
  5. Step 5: Solve for x
    x = 1,345,542,000,625/536,430
  6. Step 6: Final answer
    x = 2,508,327.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.