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Finding the Third Proportional to 813,608 and 1,749,660

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Solution

The third proportional to 813,608 and 1,749,660 is: 3,762,635.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,608 : 1,749,660 = 1,749,660 : x
  2. Step 2: Convert to fraction form
    813,608/1,749,660 = 1,749,660/x
  3. Step 3: Cross multiply
    813,608x = 1,749,660 × 1,749,660
  4. Step 4: Simplify right side
    813,608x = 3,061,310,115,600
  5. Step 5: Solve for x
    x = 3,061,310,115,600/813,608
  6. Step 6: Final answer
    x = 3,762,635.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.