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Finding the Third Proportional to 454,869 and 976,168.13

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Solution

The third proportional to 454,869 and 976,168.13 is: 2,094,898.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,869 : 976,168.13 = 976,168.13 : x
  2. Step 2: Convert to fraction form
    454,869/976,168.13 = 976,168.13/x
  3. Step 3: Cross multiply
    454,869x = 976,168.13 × 976,168.13
  4. Step 4: Simplify right side
    454,869x = 952,904,208,266.02
  5. Step 5: Solve for x
    x = 952,904,208,266.02/454,869
  6. Step 6: Final answer
    x = 2,094,898.11

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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.