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Finding the Third Proportional to 778,577 and 1,673,551

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Solution

The third proportional to 778,577 and 1,673,551 is: 3,597,297.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,577 : 1,673,551 = 1,673,551 : x
  2. Step 2: Convert to fraction form
    778,577/1,673,551 = 1,673,551/x
  3. Step 3: Cross multiply
    778,577x = 1,673,551 × 1,673,551
  4. Step 4: Simplify right side
    778,577x = 2,800,772,949,601
  5. Step 5: Solve for x
    x = 2,800,772,949,601/778,577
  6. Step 6: Final answer
    x = 3,597,297.31

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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.