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Finding the Third Proportional to 452,307 and 951,108

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Solution

The third proportional to 452,307 and 951,108 is: 1,999,983.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,307 : 951,108 = 951,108 : x
  2. Step 2: Convert to fraction form
    452,307/951,108 = 951,108/x
  3. Step 3: Cross multiply
    452,307x = 951,108 × 951,108
  4. Step 4: Simplify right side
    452,307x = 904,606,427,664
  5. Step 5: Solve for x
    x = 904,606,427,664/452,307
  6. Step 6: Final answer
    x = 1,999,983.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.