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Finding the Third Proportional to 2,635,856 and 5,784,928

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Solution

The third proportional to 2,635,856 and 5,784,928 is: 12,696,214.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635,856 : 5,784,928 = 5,784,928 : x
  2. Step 2: Convert to fraction form
    2,635,856/5,784,928 = 5,784,928/x
  3. Step 3: Cross multiply
    2,635,856x = 5,784,928 × 5,784,928
  4. Step 4: Simplify right side
    2,635,856x = 33,465,391,965,184
  5. Step 5: Solve for x
    x = 33,465,391,965,184/2,635,856
  6. Step 6: Final answer
    x = 12,696,214.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.