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Finding the Third Proportional to 507,285 and 1,116,027

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Solution

The third proportional to 507,285 and 1,116,027 is: 2,455,259.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,285 : 1,116,027 = 1,116,027 : x
  2. Step 2: Convert to fraction form
    507,285/1,116,027 = 1,116,027/x
  3. Step 3: Cross multiply
    507,285x = 1,116,027 × 1,116,027
  4. Step 4: Simplify right side
    507,285x = 1,245,516,264,729
  5. Step 5: Solve for x
    x = 1,245,516,264,729/507,285
  6. Step 6: Final answer
    x = 2,455,259.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.