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Finding the Third Proportional to 450,807 and 951,915

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Solution

The third proportional to 450,807 and 951,915 is: 2,010,044.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,807 : 951,915 = 951,915 : x
  2. Step 2: Convert to fraction form
    450,807/951,915 = 951,915/x
  3. Step 3: Cross multiply
    450,807x = 951,915 × 951,915
  4. Step 4: Simplify right side
    450,807x = 906,142,167,225
  5. Step 5: Solve for x
    x = 906,142,167,225/450,807
  6. Step 6: Final answer
    x = 2,010,044.58

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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.