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Finding the Third Proportional to 1,328,829 and 2,845,869

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Solution

The third proportional to 1,328,829 and 2,845,869 is: 6,094,817.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328,829 : 2,845,869 = 2,845,869 : x
  2. Step 2: Convert to fraction form
    1,328,829/2,845,869 = 2,845,869/x
  3. Step 3: Cross multiply
    1,328,829x = 2,845,869 × 2,845,869
  4. Step 4: Simplify right side
    1,328,829x = 8,098,970,365,161
  5. Step 5: Solve for x
    x = 8,098,970,365,161/1,328,829
  6. Step 6: Final answer
    x = 6,094,817.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.