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Finding the Third Proportional to 2,021,213 and 2,972,668

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Solution

The third proportional to 2,021,213 and 2,972,668 is: 4,372,005.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021,213 : 2,972,668 = 2,972,668 : x
  2. Step 2: Convert to fraction form
    2,021,213/2,972,668 = 2,972,668/x
  3. Step 3: Cross multiply
    2,021,213x = 2,972,668 × 2,972,668
  4. Step 4: Simplify right side
    2,021,213x = 8,836,755,038,224
  5. Step 5: Solve for x
    x = 8,836,755,038,224/2,021,213
  6. Step 6: Final answer
    x = 4,372,005.84

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.