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Finding the Third Proportional to 789,782 and 1,155,052

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Solution

The third proportional to 789,782 and 1,155,052 is: 1,689,257.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,782 : 1,155,052 = 1,155,052 : x
  2. Step 2: Convert to fraction form
    789,782/1,155,052 = 1,155,052/x
  3. Step 3: Cross multiply
    789,782x = 1,155,052 × 1,155,052
  4. Step 4: Simplify right side
    789,782x = 1,334,145,122,704
  5. Step 5: Solve for x
    x = 1,334,145,122,704/789,782
  6. Step 6: Final answer
    x = 1,689,257.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.