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Finding the Third Proportional to 517,041.75 and 1,117,094.25

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Solution

The third proportional to 517,041.75 and 1,117,094.25 is: 2,413,537.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,041.75 : 1,117,094.25 = 1,117,094.25 : x
  2. Step 2: Convert to fraction form
    517,041.75/1,117,094.25 = 1,117,094.25/x
  3. Step 3: Cross multiply
    517,041.75x = 1,117,094.25 × 1,117,094.25
  4. Step 4: Simplify right side
    517,041.75x = 1,247,899,563,383.06
  5. Step 5: Solve for x
    x = 1,247,899,563,383.06/517,041.75
  6. Step 6: Final answer
    x = 2,413,537.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.