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Finding the Third Proportional to 3,125,204.75 and 4,696,129.25

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Solution

The third proportional to 3,125,204.75 and 4,696,129.25 is: 7,056,699.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125,204.75 : 4,696,129.25 = 4,696,129.25 : x
  2. Step 2: Convert to fraction form
    3,125,204.75/4,696,129.25 = 4,696,129.25/x
  3. Step 3: Cross multiply
    3,125,204.75x = 4,696,129.25 × 4,696,129.25
  4. Step 4: Simplify right side
    3,125,204.75x = 22,053,629,932,705.56
  5. Step 5: Solve for x
    x = 22,053,629,932,705.56/3,125,204.75
  6. Step 6: Final answer
    x = 7,056,699.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.