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Finding the Third Proportional to 2,164,968 and 4,698,738

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Solution

The third proportional to 2,164,968 and 4,698,738 is: 10,197,905.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164,968 : 4,698,738 = 4,698,738 : x
  2. Step 2: Convert to fraction form
    2,164,968/4,698,738 = 4,698,738/x
  3. Step 3: Cross multiply
    2,164,968x = 4,698,738 × 4,698,738
  4. Step 4: Simplify right side
    2,164,968x = 22,078,138,792,644
  5. Step 5: Solve for x
    x = 22,078,138,792,644/2,164,968
  6. Step 6: Final answer
    x = 10,197,905.37

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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.