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Finding the Third Proportional to 523,532 and 1,139,769

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Solution

The third proportional to 523,532 and 1,139,769 is: 2,481,363.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,532 : 1,139,769 = 1,139,769 : x
  2. Step 2: Convert to fraction form
    523,532/1,139,769 = 1,139,769/x
  3. Step 3: Cross multiply
    523,532x = 1,139,769 × 1,139,769
  4. Step 4: Simplify right side
    523,532x = 1,299,073,373,361
  5. Step 5: Solve for x
    x = 1,299,073,373,361/523,532
  6. Step 6: Final answer
    x = 2,481,363.84

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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.