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Finding the Third Proportional to 591,619 and 846,022

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Solution

The third proportional to 591,619 and 846,022 is: 1,209,821.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,619 : 846,022 = 846,022 : x
  2. Step 2: Convert to fraction form
    591,619/846,022 = 846,022/x
  3. Step 3: Cross multiply
    591,619x = 846,022 × 846,022
  4. Step 4: Simplify right side
    591,619x = 715,753,224,484
  5. Step 5: Solve for x
    x = 715,753,224,484/591,619
  6. Step 6: Final answer
    x = 1,209,821.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.