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Finding the Third Proportional to 545,250 and 1,116,950

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Solution

The third proportional to 545,250 and 1,116,950 is: 2,288,083.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,250 : 1,116,950 = 1,116,950 : x
  2. Step 2: Convert to fraction form
    545,250/1,116,950 = 1,116,950/x
  3. Step 3: Cross multiply
    545,250x = 1,116,950 × 1,116,950
  4. Step 4: Simplify right side
    545,250x = 1,247,577,302,500
  5. Step 5: Solve for x
    x = 1,247,577,302,500/545,250
  6. Step 6: Final answer
    x = 2,288,083.09

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.