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Finding the Third Proportional to 2,838,036 and 6,204,225

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Solution

The third proportional to 2,838,036 and 6,204,225 is: 13,563,044.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838,036 : 6,204,225 = 6,204,225 : x
  2. Step 2: Convert to fraction form
    2,838,036/6,204,225 = 6,204,225/x
  3. Step 3: Cross multiply
    2,838,036x = 6,204,225 × 6,204,225
  4. Step 4: Simplify right side
    2,838,036x = 38,492,407,850,625
  5. Step 5: Solve for x
    x = 38,492,407,850,625/2,838,036
  6. Step 6: Final answer
    x = 13,563,044.25

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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.