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Finding the Third Proportional to 589,708 and 883,636

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Solution

The third proportional to 589,708 and 883,636 is: 1,324,066.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,708 : 883,636 = 883,636 : x
  2. Step 2: Convert to fraction form
    589,708/883,636 = 883,636/x
  3. Step 3: Cross multiply
    589,708x = 883,636 × 883,636
  4. Step 4: Simplify right side
    589,708x = 780,812,580,496
  5. Step 5: Solve for x
    x = 780,812,580,496/589,708
  6. Step 6: Final answer
    x = 1,324,066.45

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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.