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Finding the Third Proportional to 2,365,160 and 5,058,274

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Solution

The third proportional to 2,365,160 and 5,058,274 is: 10,817,930.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365,160 : 5,058,274 = 5,058,274 : x
  2. Step 2: Convert to fraction form
    2,365,160/5,058,274 = 5,058,274/x
  3. Step 3: Cross multiply
    2,365,160x = 5,058,274 × 5,058,274
  4. Step 4: Simplify right side
    2,365,160x = 25,586,135,859,076
  5. Step 5: Solve for x
    x = 25,586,135,859,076/2,365,160
  6. Step 6: Final answer
    x = 10,817,930.23

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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.