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Finding the Third Proportional to 2,398,760 and 5,153,232

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Solution

The third proportional to 2,398,760 and 5,153,232 is: 11,070,636.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398,760 : 5,153,232 = 5,153,232 : x
  2. Step 2: Convert to fraction form
    2,398,760/5,153,232 = 5,153,232/x
  3. Step 3: Cross multiply
    2,398,760x = 5,153,232 × 5,153,232
  4. Step 4: Simplify right side
    2,398,760x = 26,555,800,045,824
  5. Step 5: Solve for x
    x = 26,555,800,045,824/2,398,760
  6. Step 6: Final answer
    x = 11,070,636.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.