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Finding the Third Proportional to 3,678,576 and 5,741,380

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Solution

The third proportional to 3,678,576 and 5,741,380 is: 8,960,925.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678,576 : 5,741,380 = 5,741,380 : x
  2. Step 2: Convert to fraction form
    3,678,576/5,741,380 = 5,741,380/x
  3. Step 3: Cross multiply
    3,678,576x = 5,741,380 × 5,741,380
  4. Step 4: Simplify right side
    3,678,576x = 32,963,444,304,400
  5. Step 5: Solve for x
    x = 32,963,444,304,400/3,678,576
  6. Step 6: Final answer
    x = 8,960,925.18

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.