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Finding the Third Proportional to 2,242,166 and 3,223,281

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Solution

The third proportional to 2,242,166 and 3,223,281 is: 4,633,707.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242,166 : 3,223,281 = 3,223,281 : x
  2. Step 2: Convert to fraction form
    2,242,166/3,223,281 = 3,223,281/x
  3. Step 3: Cross multiply
    2,242,166x = 3,223,281 × 3,223,281
  4. Step 4: Simplify right side
    2,242,166x = 10,389,540,404,961
  5. Step 5: Solve for x
    x = 10,389,540,404,961/2,242,166
  6. Step 6: Final answer
    x = 4,633,707.05

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.