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Finding the Third Proportional to 1,384,215.75 and 2,965,257

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Solution

The third proportional to 1,384,215.75 and 2,965,257 is: 6,352,152.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384,215.75 : 2,965,257 = 2,965,257 : x
  2. Step 2: Convert to fraction form
    1,384,215.75/2,965,257 = 2,965,257/x
  3. Step 3: Cross multiply
    1,384,215.75x = 2,965,257 × 2,965,257
  4. Step 4: Simplify right side
    1,384,215.75x = 8,792,749,076,049
  5. Step 5: Solve for x
    x = 8,792,749,076,049/1,384,215.75
  6. Step 6: Final answer
    x = 6,352,152.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.