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Finding the Third Proportional to 473,132 and 1,021,304

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Solution

The third proportional to 473,132 and 1,021,304 is: 2,204,589.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,132 : 1,021,304 = 1,021,304 : x
  2. Step 2: Convert to fraction form
    473,132/1,021,304 = 1,021,304/x
  3. Step 3: Cross multiply
    473,132x = 1,021,304 × 1,021,304
  4. Step 4: Simplify right side
    473,132x = 1,043,061,860,416
  5. Step 5: Solve for x
    x = 1,043,061,860,416/473,132
  6. Step 6: Final answer
    x = 2,204,589.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.