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Finding the Third Proportional to 450,292 and 951,248

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Solution

The third proportional to 450,292 and 951,248 is: 2,009,524.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,292 : 951,248 = 951,248 : x
  2. Step 2: Convert to fraction form
    450,292/951,248 = 951,248/x
  3. Step 3: Cross multiply
    450,292x = 951,248 × 951,248
  4. Step 4: Simplify right side
    450,292x = 904,872,757,504
  5. Step 5: Solve for x
    x = 904,872,757,504/450,292
  6. Step 6: Final answer
    x = 2,009,524.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.