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Finding the Third Proportional to 423,799 and 1,000,228

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Solution

The third proportional to 423,799 and 1,000,228 is: 2,360,685.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,799 : 1,000,228 = 1,000,228 : x
  2. Step 2: Convert to fraction form
    423,799/1,000,228 = 1,000,228/x
  3. Step 3: Cross multiply
    423,799x = 1,000,228 × 1,000,228
  4. Step 4: Simplify right side
    423,799x = 1,000,456,051,984
  5. Step 5: Solve for x
    x = 1,000,456,051,984/423,799
  6. Step 6: Final answer
    x = 2,360,685.26

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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.