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Finding the Third Proportional to 452,314 and 951,121

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Solution

The third proportional to 452,314 and 951,121 is: 2,000,006.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,314 : 951,121 = 951,121 : x
  2. Step 2: Convert to fraction form
    452,314/951,121 = 951,121/x
  3. Step 3: Cross multiply
    452,314x = 951,121 × 951,121
  4. Step 4: Simplify right side
    452,314x = 904,631,156,641
  5. Step 5: Solve for x
    x = 904,631,156,641/452,314
  6. Step 6: Final answer
    x = 2,000,006.98

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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.