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Finding the Third Proportional to 459,576 and 982,278

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Solution

The third proportional to 459,576 and 982,278 is: 2,099,478.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,576 : 982,278 = 982,278 : x
  2. Step 2: Convert to fraction form
    459,576/982,278 = 982,278/x
  3. Step 3: Cross multiply
    459,576x = 982,278 × 982,278
  4. Step 4: Simplify right side
    459,576x = 964,870,069,284
  5. Step 5: Solve for x
    x = 964,870,069,284/459,576
  6. Step 6: Final answer
    x = 2,099,478.80

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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.