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Finding the Third Proportional to 420,230 and 971,843

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Solution

The third proportional to 420,230 and 971,843 is: 2,247,528.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,230 : 971,843 = 971,843 : x
  2. Step 2: Convert to fraction form
    420,230/971,843 = 971,843/x
  3. Step 3: Cross multiply
    420,230x = 971,843 × 971,843
  4. Step 4: Simplify right side
    420,230x = 944,478,816,649
  5. Step 5: Solve for x
    x = 944,478,816,649/420,230
  6. Step 6: Final answer
    x = 2,247,528.30

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.