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Finding the Third Proportional to 1,363,182.75 and 2,116,695.38

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Solution

The third proportional to 1,363,182.75 and 2,116,695.38 is: 3,286,719.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363,182.75 : 2,116,695.38 = 2,116,695.38 : x
  2. Step 2: Convert to fraction form
    1,363,182.75/2,116,695.38 = 2,116,695.38/x
  3. Step 3: Cross multiply
    1,363,182.75x = 2,116,695.38 × 2,116,695.38
  4. Step 4: Simplify right side
    1,363,182.75x = 4,480,399,310,546.39
  5. Step 5: Solve for x
    x = 4,480,399,310,546.39/1,363,182.75
  6. Step 6: Final answer
    x = 3,286,719.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.