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Finding the Third Proportional to 1,037,713 and 1,325,961

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Solution

The third proportional to 1,037,713 and 1,325,961 is: 1,694,276.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037,713 : 1,325,961 = 1,325,961 : x
  2. Step 2: Convert to fraction form
    1,037,713/1,325,961 = 1,325,961/x
  3. Step 3: Cross multiply
    1,037,713x = 1,325,961 × 1,325,961
  4. Step 4: Simplify right side
    1,037,713x = 1,758,172,573,521
  5. Step 5: Solve for x
    x = 1,758,172,573,521/1,037,713
  6. Step 6: Final answer
    x = 1,694,276.33

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.