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Finding the Third Proportional to 775,416 and 1,158,477

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Solution

The third proportional to 775,416 and 1,158,477 is: 1,730,772.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,416 : 1,158,477 = 1,158,477 : x
  2. Step 2: Convert to fraction form
    775,416/1,158,477 = 1,158,477/x
  3. Step 3: Cross multiply
    775,416x = 1,158,477 × 1,158,477
  4. Step 4: Simplify right side
    775,416x = 1,342,068,959,529
  5. Step 5: Solve for x
    x = 1,342,068,959,529/775,416
  6. Step 6: Final answer
    x = 1,730,772.85

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