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Finding the Third Proportional to 895,346 and 1,923,212

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Solution

The third proportional to 895,346 and 1,923,212 is: 4,131,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,346 : 1,923,212 = 1,923,212 : x
  2. Step 2: Convert to fraction form
    895,346/1,923,212 = 1,923,212/x
  3. Step 3: Cross multiply
    895,346x = 1,923,212 × 1,923,212
  4. Step 4: Simplify right side
    895,346x = 3,698,744,396,944
  5. Step 5: Solve for x
    x = 3,698,744,396,944/895,346
  6. Step 6: Final answer
    x = 4,131,078.26

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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.