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Finding the Third Proportional to 551,345 and 1,187,165

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Solution

The third proportional to 551,345 and 1,187,165 is: 2,556,222.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,345 : 1,187,165 = 1,187,165 : x
  2. Step 2: Convert to fraction form
    551,345/1,187,165 = 1,187,165/x
  3. Step 3: Cross multiply
    551,345x = 1,187,165 × 1,187,165
  4. Step 4: Simplify right side
    551,345x = 1,409,360,737,225
  5. Step 5: Solve for x
    x = 1,409,360,737,225/551,345
  6. Step 6: Final answer
    x = 2,556,222.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.