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Finding the Third Proportional to 892,801 and 1,926,737

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Solution

The third proportional to 892,801 and 1,926,737 is: 4,158,054.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,801 : 1,926,737 = 1,926,737 : x
  2. Step 2: Convert to fraction form
    892,801/1,926,737 = 1,926,737/x
  3. Step 3: Cross multiply
    892,801x = 1,926,737 × 1,926,737
  4. Step 4: Simplify right side
    892,801x = 3,712,315,467,169
  5. Step 5: Solve for x
    x = 3,712,315,467,169/892,801
  6. Step 6: Final answer
    x = 4,158,054.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.