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Finding the Third Proportional to 483,290 and 1,137,197

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Solution

The third proportional to 483,290 and 1,137,197 is: 2,675,861.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,290 : 1,137,197 = 1,137,197 : x
  2. Step 2: Convert to fraction form
    483,290/1,137,197 = 1,137,197/x
  3. Step 3: Cross multiply
    483,290x = 1,137,197 × 1,137,197
  4. Step 4: Simplify right side
    483,290x = 1,293,217,016,809
  5. Step 5: Solve for x
    x = 1,293,217,016,809/483,290
  6. Step 6: Final answer
    x = 2,675,861.32

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.