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Finding the Third Proportional to 551,369 and 1,177,825

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Solution

The third proportional to 551,369 and 1,177,825 is: 2,516,049.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,369 : 1,177,825 = 1,177,825 : x
  2. Step 2: Convert to fraction form
    551,369/1,177,825 = 1,177,825/x
  3. Step 3: Cross multiply
    551,369x = 1,177,825 × 1,177,825
  4. Step 4: Simplify right side
    551,369x = 1,387,271,730,625
  5. Step 5: Solve for x
    x = 1,387,271,730,625/551,369
  6. Step 6: Final answer
    x = 2,516,049.56

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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.