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Finding the Third Proportional to 824,430 and 1,789,860

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Solution

The third proportional to 824,430 and 1,789,860 is: 3,885,834.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,430 : 1,789,860 = 1,789,860 : x
  2. Step 2: Convert to fraction form
    824,430/1,789,860 = 1,789,860/x
  3. Step 3: Cross multiply
    824,430x = 1,789,860 × 1,789,860
  4. Step 4: Simplify right side
    824,430x = 3,203,598,819,600
  5. Step 5: Solve for x
    x = 3,203,598,819,600/824,430
  6. Step 6: Final answer
    x = 3,885,834.84

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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.