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Finding the Third Proportional to 591,624 and 846,029

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Solution

The third proportional to 591,624 and 846,029 is: 1,209,831.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,624 : 846,029 = 846,029 : x
  2. Step 2: Convert to fraction form
    591,624/846,029 = 846,029/x
  3. Step 3: Cross multiply
    591,624x = 846,029 × 846,029
  4. Step 4: Simplify right side
    591,624x = 715,765,068,841
  5. Step 5: Solve for x
    x = 715,765,068,841/591,624
  6. Step 6: Final answer
    x = 1,209,831.02

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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.