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Finding the Third Proportional to 775,577 and 1,158,673

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Solution

The third proportional to 775,577 and 1,158,673 is: 1,730,999.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,577 : 1,158,673 = 1,158,673 : x
  2. Step 2: Convert to fraction form
    775,577/1,158,673 = 1,158,673/x
  3. Step 3: Cross multiply
    775,577x = 1,158,673 × 1,158,673
  4. Step 4: Simplify right side
    775,577x = 1,342,523,120,929
  5. Step 5: Solve for x
    x = 1,342,523,120,929/775,577
  6. Step 6: Final answer
    x = 1,730,999.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.