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Finding the Third Proportional to 459,335 and 985,077

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Solution

The third proportional to 459,335 and 985,077 is: 2,112,568.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,335 : 985,077 = 985,077 : x
  2. Step 2: Convert to fraction form
    459,335/985,077 = 985,077/x
  3. Step 3: Cross multiply
    459,335x = 985,077 × 985,077
  4. Step 4: Simplify right side
    459,335x = 970,376,695,929
  5. Step 5: Solve for x
    x = 970,376,695,929/459,335
  6. Step 6: Final answer
    x = 2,112,568.60

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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.