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Finding the Third Proportional to 397,008 and 937,054.13

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Solution

The third proportional to 397,008 and 937,054.13 is: 2,211,719.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,008 : 937,054.13 = 937,054.13 : x
  2. Step 2: Convert to fraction form
    397,008/937,054.13 = 937,054.13/x
  3. Step 3: Cross multiply
    397,008x = 937,054.13 × 937,054.13
  4. Step 4: Simplify right side
    397,008x = 878,070,433,179.52
  5. Step 5: Solve for x
    x = 878,070,433,179.52/397,008
  6. Step 6: Final answer
    x = 2,211,719.75

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.