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Finding the Third Proportional to 449,894.25 and 1,062,041.63

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Solution

The third proportional to 449,894.25 and 1,062,041.63 is: 2,507,105.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,894.25 : 1,062,041.63 = 1,062,041.63 : x
  2. Step 2: Convert to fraction form
    449,894.25/1,062,041.63 = 1,062,041.63/x
  3. Step 3: Cross multiply
    449,894.25x = 1,062,041.63 × 1,062,041.63
  4. Step 4: Simplify right side
    449,894.25x = 1,127,932,413,232.64
  5. Step 5: Solve for x
    x = 1,127,932,413,232.64/449,894.25
  6. Step 6: Final answer
    x = 2,507,105.64

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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.