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Finding the Third Proportional to 1,165,231.50 and 2,492,361

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Solution

The third proportional to 1,165,231.50 and 2,492,361 is: 5,331,012.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,231.50 : 2,492,361 = 2,492,361 : x
  2. Step 2: Convert to fraction form
    1,165,231.50/2,492,361 = 2,492,361/x
  3. Step 3: Cross multiply
    1,165,231.50x = 2,492,361 × 2,492,361
  4. Step 4: Simplify right side
    1,165,231.50x = 6,211,863,354,321
  5. Step 5: Solve for x
    x = 6,211,863,354,321/1,165,231.50
  6. Step 6: Final answer
    x = 5,331,012.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.