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Finding the Third Proportional to 920,169 and 1,412,397

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Solution

The third proportional to 920,169 and 1,412,397 is: 2,167,933.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,169 : 1,412,397 = 1,412,397 : x
  2. Step 2: Convert to fraction form
    920,169/1,412,397 = 1,412,397/x
  3. Step 3: Cross multiply
    920,169x = 1,412,397 × 1,412,397
  4. Step 4: Simplify right side
    920,169x = 1,994,865,285,609
  5. Step 5: Solve for x
    x = 1,994,865,285,609/920,169
  6. Step 6: Final answer
    x = 2,167,933.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.