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Finding the Third Proportional to 978,051.75 and 1,496,201.25

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Solution

The third proportional to 978,051.75 and 1,496,201.25 is: 2,288,854.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,051.75 : 1,496,201.25 = 1,496,201.25 : x
  2. Step 2: Convert to fraction form
    978,051.75/1,496,201.25 = 1,496,201.25/x
  3. Step 3: Cross multiply
    978,051.75x = 1,496,201.25 × 1,496,201.25
  4. Step 4: Simplify right side
    978,051.75x = 2,238,618,180,501.56
  5. Step 5: Solve for x
    x = 2,238,618,180,501.56/978,051.75
  6. Step 6: Final answer
    x = 2,288,854.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.