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Finding the Third Proportional to 2,216,824 and 4,765,166

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Solution

The third proportional to 2,216,824 and 4,765,166 is: 10,242,945.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216,824 : 4,765,166 = 4,765,166 : x
  2. Step 2: Convert to fraction form
    2,216,824/4,765,166 = 4,765,166/x
  3. Step 3: Cross multiply
    2,216,824x = 4,765,166 × 4,765,166
  4. Step 4: Simplify right side
    2,216,824x = 22,706,807,007,556
  5. Step 5: Solve for x
    x = 22,706,807,007,556/2,216,824
  6. Step 6: Final answer
    x = 10,242,945.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.