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Finding the Third Proportional to 832,669 and 1,964,978

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Solution

The third proportional to 832,669 and 1,964,978 is: 4,637,062.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,669 : 1,964,978 = 1,964,978 : x
  2. Step 2: Convert to fraction form
    832,669/1,964,978 = 1,964,978/x
  3. Step 3: Cross multiply
    832,669x = 1,964,978 × 1,964,978
  4. Step 4: Simplify right side
    832,669x = 3,861,138,540,484
  5. Step 5: Solve for x
    x = 3,861,138,540,484/832,669
  6. Step 6: Final answer
    x = 4,637,062.92

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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.