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Finding the Third Proportional to 1,634,829 and 2,691,916

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Solution

The third proportional to 1,634,829 and 2,691,916 is: 4,432,519.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634,829 : 2,691,916 = 2,691,916 : x
  2. Step 2: Convert to fraction form
    1,634,829/2,691,916 = 2,691,916/x
  3. Step 3: Cross multiply
    1,634,829x = 2,691,916 × 2,691,916
  4. Step 4: Simplify right side
    1,634,829x = 7,246,411,751,056
  5. Step 5: Solve for x
    x = 7,246,411,751,056/1,634,829
  6. Step 6: Final answer
    x = 4,432,519.70

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.