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Finding the Third Proportional to 840,683.25 and 1,179,645.75

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Solution

The third proportional to 840,683.25 and 1,179,645.75 is: 1,655,277.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,683.25 : 1,179,645.75 = 1,179,645.75 : x
  2. Step 2: Convert to fraction form
    840,683.25/1,179,645.75 = 1,179,645.75/x
  3. Step 3: Cross multiply
    840,683.25x = 1,179,645.75 × 1,179,645.75
  4. Step 4: Simplify right side
    840,683.25x = 1,391,564,095,493.06
  5. Step 5: Solve for x
    x = 1,391,564,095,493.06/840,683.25
  6. Step 6: Final answer
    x = 1,655,277.53

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.