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Finding the Third Proportional to 983,048 and 1,328,155

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Solution

The third proportional to 983,048 and 1,328,155 is: 1,794,414.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,048 : 1,328,155 = 1,328,155 : x
  2. Step 2: Convert to fraction form
    983,048/1,328,155 = 1,328,155/x
  3. Step 3: Cross multiply
    983,048x = 1,328,155 × 1,328,155
  4. Step 4: Simplify right side
    983,048x = 1,763,995,704,025
  5. Step 5: Solve for x
    x = 1,763,995,704,025/983,048
  6. Step 6: Final answer
    x = 1,794,414.62

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.