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Finding the Third Proportional to 491,177.63 and 1,073,664.38

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Solution

The third proportional to 491,177.63 and 1,073,664.38 is: 2,346,921.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,177.63 : 1,073,664.38 = 1,073,664.38 : x
  2. Step 2: Convert to fraction form
    491,177.63/1,073,664.38 = 1,073,664.38/x
  3. Step 3: Cross multiply
    491,177.63x = 1,073,664.38 × 1,073,664.38
  4. Step 4: Simplify right side
    491,177.63x = 1,152,755,190,144.14
  5. Step 5: Solve for x
    x = 1,152,755,190,144.14/491,177.63
  6. Step 6: Final answer
    x = 2,346,921.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.