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Finding the Third Proportional to 2,389,284 and 5,058,396

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Solution

The third proportional to 2,389,284 and 5,058,396 is: 10,709,220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389,284 : 5,058,396 = 5,058,396 : x
  2. Step 2: Convert to fraction form
    2,389,284/5,058,396 = 5,058,396/x
  3. Step 3: Cross multiply
    2,389,284x = 5,058,396 × 5,058,396
  4. Step 4: Simplify right side
    2,389,284x = 25,587,370,092,816
  5. Step 5: Solve for x
    x = 25,587,370,092,816/2,389,284
  6. Step 6: Final answer
    x = 10,709,220.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.