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Finding the Third Proportional to 451,921 and 619,683

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Solution

The third proportional to 451,921 and 619,683 is: 849,721.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,921 : 619,683 = 619,683 : x
  2. Step 2: Convert to fraction form
    451,921/619,683 = 619,683/x
  3. Step 3: Cross multiply
    451,921x = 619,683 × 619,683
  4. Step 4: Simplify right side
    451,921x = 384,007,020,489
  5. Step 5: Solve for x
    x = 384,007,020,489/451,921
  6. Step 6: Final answer
    x = 849,721.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.