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Finding the Third Proportional to 638,857.13 and 1,407,341.25

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Solution

The third proportional to 638,857.13 and 1,407,341.25 is: 3,100,238.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,857.13 : 1,407,341.25 = 1,407,341.25 : x
  2. Step 2: Convert to fraction form
    638,857.13/1,407,341.25 = 1,407,341.25/x
  3. Step 3: Cross multiply
    638,857.13x = 1,407,341.25 × 1,407,341.25
  4. Step 4: Simplify right side
    638,857.13x = 1,980,609,393,951.56
  5. Step 5: Solve for x
    x = 1,980,609,393,951.56/638,857.13
  6. Step 6: Final answer
    x = 3,100,238.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.