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Finding the Third Proportional to 451,784 and 982,264

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Solution

The third proportional to 451,784 and 982,264 is: 2,135,628.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,784 : 982,264 = 982,264 : x
  2. Step 2: Convert to fraction form
    451,784/982,264 = 982,264/x
  3. Step 3: Cross multiply
    451,784x = 982,264 × 982,264
  4. Step 4: Simplify right side
    451,784x = 964,842,565,696
  5. Step 5: Solve for x
    x = 964,842,565,696/451,784
  6. Step 6: Final answer
    x = 2,135,628.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.