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Finding the Third Proportional to 498,721 and 789,834

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Solution

The third proportional to 498,721 and 789,834 is: 1,250,875.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,721 : 789,834 = 789,834 : x
  2. Step 2: Convert to fraction form
    498,721/789,834 = 789,834/x
  3. Step 3: Cross multiply
    498,721x = 789,834 × 789,834
  4. Step 4: Simplify right side
    498,721x = 623,837,747,556
  5. Step 5: Solve for x
    x = 623,837,747,556/498,721
  6. Step 6: Final answer
    x = 1,250,875.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.