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Finding the Third Proportional to 815,811 and 1,749,717

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Solution

The third proportional to 815,811 and 1,749,717 is: 3,752,719.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,811 : 1,749,717 = 1,749,717 : x
  2. Step 2: Convert to fraction form
    815,811/1,749,717 = 1,749,717/x
  3. Step 3: Cross multiply
    815,811x = 1,749,717 × 1,749,717
  4. Step 4: Simplify right side
    815,811x = 3,061,509,580,089
  5. Step 5: Solve for x
    x = 3,061,509,580,089/815,811
  6. Step 6: Final answer
    x = 3,752,719.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.