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Finding the Third Proportional to 540,182 and 1,164,094

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Solution

The third proportional to 540,182 and 1,164,094 is: 2,508,626.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,182 : 1,164,094 = 1,164,094 : x
  2. Step 2: Convert to fraction form
    540,182/1,164,094 = 1,164,094/x
  3. Step 3: Cross multiply
    540,182x = 1,164,094 × 1,164,094
  4. Step 4: Simplify right side
    540,182x = 1,355,114,840,836
  5. Step 5: Solve for x
    x = 1,355,114,840,836/540,182
  6. Step 6: Final answer
    x = 2,508,626.43

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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.