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Finding the Third Proportional to 855,788 and 1,196,383.75

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Solution

The third proportional to 855,788 and 1,196,383.75 is: 1,672,533.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    855,788 : 1,196,383.75 = 1,196,383.75 : x
  2. Step 2: Convert to fraction form
    855,788/1,196,383.75 = 1,196,383.75/x
  3. Step 3: Cross multiply
    855,788x = 1,196,383.75 × 1,196,383.75
  4. Step 4: Simplify right side
    855,788x = 1,431,334,077,264.06
  5. Step 5: Solve for x
    x = 1,431,334,077,264.06/855,788
  6. Step 6: Final answer
    x = 1,672,533.47

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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.