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Finding the Third Proportional to 591,621 and 846,027

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Solution

The third proportional to 591,621 and 846,027 is: 1,209,831.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,621 : 846,027 = 846,027 : x
  2. Step 2: Convert to fraction form
    591,621/846,027 = 846,027/x
  3. Step 3: Cross multiply
    591,621x = 846,027 × 846,027
  4. Step 4: Simplify right side
    591,621x = 715,761,684,729
  5. Step 5: Solve for x
    x = 715,761,684,729/591,621
  6. Step 6: Final answer
    x = 1,209,831.44

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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.