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Finding the Third Proportional to 2,365,158 and 5,058,270

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Solution

The third proportional to 2,365,158 and 5,058,270 is: 10,817,922.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365,158 : 5,058,270 = 5,058,270 : x
  2. Step 2: Convert to fraction form
    2,365,158/5,058,270 = 5,058,270/x
  3. Step 3: Cross multiply
    2,365,158x = 5,058,270 × 5,058,270
  4. Step 4: Simplify right side
    2,365,158x = 25,586,095,392,900
  5. Step 5: Solve for x
    x = 25,586,095,392,900/2,365,158
  6. Step 6: Final answer
    x = 10,817,922.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.