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Finding the Third Proportional to 905,297.50 and 1,966,295

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Solution

The third proportional to 905,297.50 and 1,966,295 is: 4,270,768.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,297.50 : 1,966,295 = 1,966,295 : x
  2. Step 2: Convert to fraction form
    905,297.50/1,966,295 = 1,966,295/x
  3. Step 3: Cross multiply
    905,297.50x = 1,966,295 × 1,966,295
  4. Step 4: Simplify right side
    905,297.50x = 3,866,316,027,025
  5. Step 5: Solve for x
    x = 3,866,316,027,025/905,297.50
  6. Step 6: Final answer
    x = 4,270,768.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.