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Finding the Third Proportional to 2,398,376 and 5,107,480

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Solution

The third proportional to 2,398,376 and 5,107,480 is: 10,876,673.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398,376 : 5,107,480 = 5,107,480 : x
  2. Step 2: Convert to fraction form
    2,398,376/5,107,480 = 5,107,480/x
  3. Step 3: Cross multiply
    2,398,376x = 5,107,480 × 5,107,480
  4. Step 4: Simplify right side
    2,398,376x = 26,086,351,950,400
  5. Step 5: Solve for x
    x = 26,086,351,950,400/2,398,376
  6. Step 6: Final answer
    x = 10,876,673.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.