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Finding the Third Proportional to 1,467,659.25 and 3,152,355.47

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Solution

The third proportional to 1,467,659.25 and 3,152,355.47 is: 6,770,880.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467,659.25 : 3,152,355.47 = 3,152,355.47 : x
  2. Step 2: Convert to fraction form
    1,467,659.25/3,152,355.47 = 3,152,355.47/x
  3. Step 3: Cross multiply
    1,467,659.25x = 3,152,355.47 × 3,152,355.47
  4. Step 4: Simplify right side
    1,467,659.25x = 9,937,345,001,358.03
  5. Step 5: Solve for x
    x = 9,937,345,001,358.03/1,467,659.25
  6. Step 6: Final answer
    x = 6,770,880.23

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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.