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Finding the Third Proportional to 1,261,212 and 1,904,934

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Solution

The third proportional to 1,261,212 and 1,904,934 is: 2,877,211.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261,212 : 1,904,934 = 1,904,934 : x
  2. Step 2: Convert to fraction form
    1,261,212/1,904,934 = 1,904,934/x
  3. Step 3: Cross multiply
    1,261,212x = 1,904,934 × 1,904,934
  4. Step 4: Simplify right side
    1,261,212x = 3,628,773,544,356
  5. Step 5: Solve for x
    x = 3,628,773,544,356/1,261,212
  6. Step 6: Final answer
    x = 2,877,211.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.