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Finding the Third Proportional to 832,028 and 1,796,774

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Solution

The third proportional to 832,028 and 1,796,774 is: 3,880,154.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,028 : 1,796,774 = 1,796,774 : x
  2. Step 2: Convert to fraction form
    832,028/1,796,774 = 1,796,774/x
  3. Step 3: Cross multiply
    832,028x = 1,796,774 × 1,796,774
  4. Step 4: Simplify right side
    832,028x = 3,228,396,807,076
  5. Step 5: Solve for x
    x = 3,228,396,807,076/832,028
  6. Step 6: Final answer
    x = 3,880,154.04

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.