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Finding the Third Proportional to 813,603 and 1,749,651

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Solution

The third proportional to 813,603 and 1,749,651 is: 3,762,619.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,603 : 1,749,651 = 1,749,651 : x
  2. Step 2: Convert to fraction form
    813,603/1,749,651 = 1,749,651/x
  3. Step 3: Cross multiply
    813,603x = 1,749,651 × 1,749,651
  4. Step 4: Simplify right side
    813,603x = 3,061,278,621,801
  5. Step 5: Solve for x
    x = 3,061,278,621,801/813,603
  6. Step 6: Final answer
    x = 3,762,619.63

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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.