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Finding the Third Proportional to 2,411,572 and 5,242,616

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Solution

The third proportional to 2,411,572 and 5,242,616 is: 11,397,139.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411,572 : 5,242,616 = 5,242,616 : x
  2. Step 2: Convert to fraction form
    2,411,572/5,242,616 = 5,242,616/x
  3. Step 3: Cross multiply
    2,411,572x = 5,242,616 × 5,242,616
  4. Step 4: Simplify right side
    2,411,572x = 27,485,022,523,456
  5. Step 5: Solve for x
    x = 27,485,022,523,456/2,411,572
  6. Step 6: Final answer
    x = 11,397,139.51

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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.