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Finding the Third Proportional to 497,972.25 and 1,066,947.75

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Solution

The third proportional to 497,972.25 and 1,066,947.75 is: 2,286,025.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,972.25 : 1,066,947.75 = 1,066,947.75 : x
  2. Step 2: Convert to fraction form
    497,972.25/1,066,947.75 = 1,066,947.75/x
  3. Step 3: Cross multiply
    497,972.25x = 1,066,947.75 × 1,066,947.75
  4. Step 4: Simplify right side
    497,972.25x = 1,138,377,501,230.06
  5. Step 5: Solve for x
    x = 1,138,377,501,230.06/497,972.25
  6. Step 6: Final answer
    x = 2,286,025.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.