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Finding the Third Proportional to 918,177 and 1,425,165

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Solution

The third proportional to 918,177 and 1,425,165 is: 2,212,095.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,177 : 1,425,165 = 1,425,165 : x
  2. Step 2: Convert to fraction form
    918,177/1,425,165 = 1,425,165/x
  3. Step 3: Cross multiply
    918,177x = 1,425,165 × 1,425,165
  4. Step 4: Simplify right side
    918,177x = 2,031,095,277,225
  5. Step 5: Solve for x
    x = 2,031,095,277,225/918,177
  6. Step 6: Final answer
    x = 2,212,095.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.