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Finding the Third Proportional to 961,797 and 1,495,197

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Solution

The third proportional to 961,797 and 1,495,197 is: 2,324,413.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,797 : 1,495,197 = 1,495,197 : x
  2. Step 2: Convert to fraction form
    961,797/1,495,197 = 1,495,197/x
  3. Step 3: Cross multiply
    961,797x = 1,495,197 × 1,495,197
  4. Step 4: Simplify right side
    961,797x = 2,235,614,068,809
  5. Step 5: Solve for x
    x = 2,235,614,068,809/961,797
  6. Step 6: Final answer
    x = 2,324,413.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.