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Finding the Third Proportional to 945,084 and 2,056,056

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Solution

The third proportional to 945,084 and 2,056,056 is: 4,473,005.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,084 : 2,056,056 = 2,056,056 : x
  2. Step 2: Convert to fraction form
    945,084/2,056,056 = 2,056,056/x
  3. Step 3: Cross multiply
    945,084x = 2,056,056 × 2,056,056
  4. Step 4: Simplify right side
    945,084x = 4,227,366,275,136
  5. Step 5: Solve for x
    x = 4,227,366,275,136/945,084
  6. Step 6: Final answer
    x = 4,473,005.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.