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Finding the Third Proportional to 459,308 and 985,052

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Solution

The third proportional to 459,308 and 985,052 is: 2,112,585.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,308 : 985,052 = 985,052 : x
  2. Step 2: Convert to fraction form
    459,308/985,052 = 985,052/x
  3. Step 3: Cross multiply
    459,308x = 985,052 × 985,052
  4. Step 4: Simplify right side
    459,308x = 970,327,442,704
  5. Step 5: Solve for x
    x = 970,327,442,704/459,308
  6. Step 6: Final answer
    x = 2,112,585.55

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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.