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Finding the Third Proportional to 540,494 and 1,184,764

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Solution

The third proportional to 540,494 and 1,184,764 is: 2,597,005.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,494 : 1,184,764 = 1,184,764 : x
  2. Step 2: Convert to fraction form
    540,494/1,184,764 = 1,184,764/x
  3. Step 3: Cross multiply
    540,494x = 1,184,764 × 1,184,764
  4. Step 4: Simplify right side
    540,494x = 1,403,665,735,696
  5. Step 5: Solve for x
    x = 1,403,665,735,696/540,494
  6. Step 6: Final answer
    x = 2,597,005.21

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.