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Finding the Third Proportional to 775,535 and 1,164,122

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Solution

The third proportional to 775,535 and 1,164,122 is: 1,747,413.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,535 : 1,164,122 = 1,164,122 : x
  2. Step 2: Convert to fraction form
    775,535/1,164,122 = 1,164,122/x
  3. Step 3: Cross multiply
    775,535x = 1,164,122 × 1,164,122
  4. Step 4: Simplify right side
    775,535x = 1,355,180,030,884
  5. Step 5: Solve for x
    x = 1,355,180,030,884/775,535
  6. Step 6: Final answer
    x = 1,747,413.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.