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Finding the Third Proportional to 1,827,584.25 and 3,960,255

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Solution

The third proportional to 1,827,584.25 and 3,960,255 is: 8,581,612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827,584.25 : 3,960,255 = 3,960,255 : x
  2. Step 2: Convert to fraction form
    1,827,584.25/3,960,255 = 3,960,255/x
  3. Step 3: Cross multiply
    1,827,584.25x = 3,960,255 × 3,960,255
  4. Step 4: Simplify right side
    1,827,584.25x = 15,683,619,665,025
  5. Step 5: Solve for x
    x = 15,683,619,665,025/1,827,584.25
  6. Step 6: Final answer
    x = 8,581,612.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.