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Finding the Third Proportional to 1,295,809.25 and 1,786,247.50

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Solution

The third proportional to 1,295,809.25 and 1,786,247.50 is: 2,462,306.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295,809.25 : 1,786,247.50 = 1,786,247.50 : x
  2. Step 2: Convert to fraction form
    1,295,809.25/1,786,247.50 = 1,786,247.50/x
  3. Step 3: Cross multiply
    1,295,809.25x = 1,786,247.50 × 1,786,247.50
  4. Step 4: Simplify right side
    1,295,809.25x = 3,190,680,131,256.25
  5. Step 5: Solve for x
    x = 3,190,680,131,256.25/1,295,809.25
  6. Step 6: Final answer
    x = 2,462,306.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.