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Finding the Third Proportional to 690,498 and 1,050,165

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Solution

The third proportional to 690,498 and 1,050,165 is: 1,597,175.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,498 : 1,050,165 = 1,050,165 : x
  2. Step 2: Convert to fraction form
    690,498/1,050,165 = 1,050,165/x
  3. Step 3: Cross multiply
    690,498x = 1,050,165 × 1,050,165
  4. Step 4: Simplify right side
    690,498x = 1,102,846,527,225
  5. Step 5: Solve for x
    x = 1,102,846,527,225/690,498
  6. Step 6: Final answer
    x = 1,597,175.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.