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Finding the Third Proportional to 683,544.94 and 1,472,263.31

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Solution

The third proportional to 683,544.94 and 1,472,263.31 is: 3,171,055.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,544.94 : 1,472,263.31 = 1,472,263.31 : x
  2. Step 2: Convert to fraction form
    683,544.94/1,472,263.31 = 1,472,263.31/x
  3. Step 3: Cross multiply
    683,544.94x = 1,472,263.31 × 1,472,263.31
  4. Step 4: Simplify right side
    683,544.94x = 2,167,559,261,333.47
  5. Step 5: Solve for x
    x = 2,167,559,261,333.47/683,544.94
  6. Step 6: Final answer
    x = 3,171,055.98

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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.