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Finding the Third Proportional to 2,899,840 and 6,823,384

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Solution

The third proportional to 2,899,840 and 6,823,384 is: 16,055,564.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899,840 : 6,823,384 = 6,823,384 : x
  2. Step 2: Convert to fraction form
    2,899,840/6,823,384 = 6,823,384/x
  3. Step 3: Cross multiply
    2,899,840x = 6,823,384 × 6,823,384
  4. Step 4: Simplify right side
    2,899,840x = 46,558,569,211,456
  5. Step 5: Solve for x
    x = 46,558,569,211,456/2,899,840
  6. Step 6: Final answer
    x = 16,055,564.86

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.