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Finding the Third Proportional to 832,662 and 1,964,961

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Solution

The third proportional to 832,662 and 1,964,961 is: 4,637,021.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,662 : 1,964,961 = 1,964,961 : x
  2. Step 2: Convert to fraction form
    832,662/1,964,961 = 1,964,961/x
  3. Step 3: Cross multiply
    832,662x = 1,964,961 × 1,964,961
  4. Step 4: Simplify right side
    832,662x = 3,861,071,731,521
  5. Step 5: Solve for x
    x = 3,861,071,731,521/832,662
  6. Step 6: Final answer
    x = 4,637,021.66

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.