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Finding the Third Proportional to 536,741 and 1,157,563

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Solution

The third proportional to 536,741 and 1,157,563 is: 2,496,459.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,741 : 1,157,563 = 1,157,563 : x
  2. Step 2: Convert to fraction form
    536,741/1,157,563 = 1,157,563/x
  3. Step 3: Cross multiply
    536,741x = 1,157,563 × 1,157,563
  4. Step 4: Simplify right side
    536,741x = 1,339,952,098,969
  5. Step 5: Solve for x
    x = 1,339,952,098,969/536,741
  6. Step 6: Final answer
    x = 2,496,459.37

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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.