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Finding the Third Proportional to 537,875.25 and 1,158,738.75

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Solution

The third proportional to 537,875.25 and 1,158,738.75 is: 2,496,258.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,875.25 : 1,158,738.75 = 1,158,738.75 : x
  2. Step 2: Convert to fraction form
    537,875.25/1,158,738.75 = 1,158,738.75/x
  3. Step 3: Cross multiply
    537,875.25x = 1,158,738.75 × 1,158,738.75
  4. Step 4: Simplify right side
    537,875.25x = 1,342,675,490,751.56
  5. Step 5: Solve for x
    x = 1,342,675,490,751.56/537,875.25
  6. Step 6: Final answer
    x = 2,496,258.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.