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Finding the Third Proportional to 535,834 and 1,155,799

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Solution

The third proportional to 535,834 and 1,155,799 is: 2,493,069.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,834 : 1,155,799 = 1,155,799 : x
  2. Step 2: Convert to fraction form
    535,834/1,155,799 = 1,155,799/x
  3. Step 3: Cross multiply
    535,834x = 1,155,799 × 1,155,799
  4. Step 4: Simplify right side
    535,834x = 1,335,871,328,401
  5. Step 5: Solve for x
    x = 1,335,871,328,401/535,834
  6. Step 6: Final answer
    x = 2,493,069.36

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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.