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Finding the Third Proportional to 459,771.19 and 982,646.44

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Solution

The third proportional to 459,771.19 and 982,646.44 is: 2,100,162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,771.19 : 982,646.44 = 982,646.44 : x
  2. Step 2: Convert to fraction form
    459,771.19/982,646.44 = 982,646.44/x
  3. Step 3: Cross multiply
    459,771.19x = 982,646.44 × 982,646.44
  4. Step 4: Simplify right side
    459,771.19x = 965,594,021,131.44
  5. Step 5: Solve for x
    x = 965,594,021,131.44/459,771.19
  6. Step 6: Final answer
    x = 2,100,162.10

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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.