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Finding the Third Proportional to 551,367 and 1,177,821

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Solution

The third proportional to 551,367 and 1,177,821 is: 2,516,041.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,367 : 1,177,821 = 1,177,821 : x
  2. Step 2: Convert to fraction form
    551,367/1,177,821 = 1,177,821/x
  3. Step 3: Cross multiply
    551,367x = 1,177,821 × 1,177,821
  4. Step 4: Simplify right side
    551,367x = 1,387,262,308,041
  5. Step 5: Solve for x
    x = 1,387,262,308,041/551,367
  6. Step 6: Final answer
    x = 2,516,041.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.