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Finding the Third Proportional to 423,797 and 1,000,223

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Solution

The third proportional to 423,797 and 1,000,223 is: 2,360,672.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,797 : 1,000,223 = 1,000,223 : x
  2. Step 2: Convert to fraction form
    423,797/1,000,223 = 1,000,223/x
  3. Step 3: Cross multiply
    423,797x = 1,000,223 × 1,000,223
  4. Step 4: Simplify right side
    423,797x = 1,000,446,049,729
  5. Step 5: Solve for x
    x = 1,000,446,049,729/423,797
  6. Step 6: Final answer
    x = 2,360,672.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.