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Finding the Third Proportional to 824,577 and 1,790,155

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Solution

The third proportional to 824,577 and 1,790,155 is: 3,886,422.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,577 : 1,790,155 = 1,790,155 : x
  2. Step 2: Convert to fraction form
    824,577/1,790,155 = 1,790,155/x
  3. Step 3: Cross multiply
    824,577x = 1,790,155 × 1,790,155
  4. Step 4: Simplify right side
    824,577x = 3,204,654,924,025
  5. Step 5: Solve for x
    x = 3,204,654,924,025/824,577
  6. Step 6: Final answer
    x = 3,886,422.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.