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Finding the Third Proportional to 840,103.50 and 1,275,738

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Solution

The third proportional to 840,103.50 and 1,275,738 is: 1,937,270.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,103.50 : 1,275,738 = 1,275,738 : x
  2. Step 2: Convert to fraction form
    840,103.50/1,275,738 = 1,275,738/x
  3. Step 3: Cross multiply
    840,103.50x = 1,275,738 × 1,275,738
  4. Step 4: Simplify right side
    840,103.50x = 1,627,507,444,644
  5. Step 5: Solve for x
    x = 1,627,507,444,644/840,103.50
  6. Step 6: Final answer
    x = 1,937,270.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.