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Finding the Third Proportional to 3,084,738 and 6,684,228

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Solution

The third proportional to 3,084,738 and 6,684,228 is: 14,483,856.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084,738 : 6,684,228 = 6,684,228 : x
  2. Step 2: Convert to fraction form
    3,084,738/6,684,228 = 6,684,228/x
  3. Step 3: Cross multiply
    3,084,738x = 6,684,228 × 6,684,228
  4. Step 4: Simplify right side
    3,084,738x = 44,678,903,955,984
  5. Step 5: Solve for x
    x = 44,678,903,955,984/3,084,738
  6. Step 6: Final answer
    x = 14,483,856.96

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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.