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Finding the Third Proportional to 775,525 and 1,158,657

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Solution

The third proportional to 775,525 and 1,158,657 is: 1,731,067.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,525 : 1,158,657 = 1,158,657 : x
  2. Step 2: Convert to fraction form
    775,525/1,158,657 = 1,158,657/x
  3. Step 3: Cross multiply
    775,525x = 1,158,657 × 1,158,657
  4. Step 4: Simplify right side
    775,525x = 1,342,486,043,649
  5. Step 5: Solve for x
    x = 1,342,486,043,649/775,525
  6. Step 6: Final answer
    x = 1,731,067.40

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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.