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Finding the Third Proportional to 436,028 and 924,906

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Solution

The third proportional to 436,028 and 924,906 is: 1,961,917.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,028 : 924,906 = 924,906 : x
  2. Step 2: Convert to fraction form
    436,028/924,906 = 924,906/x
  3. Step 3: Cross multiply
    436,028x = 924,906 × 924,906
  4. Step 4: Simplify right side
    436,028x = 855,451,108,836
  5. Step 5: Solve for x
    x = 855,451,108,836/436,028
  6. Step 6: Final answer
    x = 1,961,917.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.