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Finding the Third Proportional to 467,420 and 1,021,304

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Solution

The third proportional to 467,420 and 1,021,304 is: 2,231,530.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,420 : 1,021,304 = 1,021,304 : x
  2. Step 2: Convert to fraction form
    467,420/1,021,304 = 1,021,304/x
  3. Step 3: Cross multiply
    467,420x = 1,021,304 × 1,021,304
  4. Step 4: Simplify right side
    467,420x = 1,043,061,860,416
  5. Step 5: Solve for x
    x = 1,043,061,860,416/467,420
  6. Step 6: Final answer
    x = 2,231,530.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.