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Finding the Third Proportional to 815,805 and 1,749,702

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Solution

The third proportional to 815,805 and 1,749,702 is: 3,752,682.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,805 : 1,749,702 = 1,749,702 : x
  2. Step 2: Convert to fraction form
    815,805/1,749,702 = 1,749,702/x
  3. Step 3: Cross multiply
    815,805x = 1,749,702 × 1,749,702
  4. Step 4: Simplify right side
    815,805x = 3,061,457,088,804
  5. Step 5: Solve for x
    x = 3,061,457,088,804/815,805
  6. Step 6: Final answer
    x = 3,752,682.43

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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.