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Finding the Third Proportional to 551,583 and 1,190,304

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Solution

The third proportional to 551,583 and 1,190,304 is: 2,568,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,583 : 1,190,304 = 1,190,304 : x
  2. Step 2: Convert to fraction form
    551,583/1,190,304 = 1,190,304/x
  3. Step 3: Cross multiply
    551,583x = 1,190,304 × 1,190,304
  4. Step 4: Simplify right side
    551,583x = 1,416,823,612,416
  5. Step 5: Solve for x
    x = 1,416,823,612,416/551,583
  6. Step 6: Final answer
    x = 2,568,649.89

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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.