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Finding the Third Proportional to 589,686 and 883,603.88

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Solution

The third proportional to 589,686 and 883,603.88 is: 1,324,019.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,686 : 883,603.88 = 883,603.88 : x
  2. Step 2: Convert to fraction form
    589,686/883,603.88 = 883,603.88/x
  3. Step 3: Cross multiply
    589,686x = 883,603.88 × 883,603.88
  4. Step 4: Simplify right side
    589,686x = 780,755,807,915.02
  5. Step 5: Solve for x
    x = 780,755,807,915.02/589,686
  6. Step 6: Final answer
    x = 1,324,019.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.