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Finding the Third Proportional to 792,768 and 1,742,976

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Solution

The third proportional to 792,768 and 1,742,976 is: 3,832,098.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,768 : 1,742,976 = 1,742,976 : x
  2. Step 2: Convert to fraction form
    792,768/1,742,976 = 1,742,976/x
  3. Step 3: Cross multiply
    792,768x = 1,742,976 × 1,742,976
  4. Step 4: Simplify right side
    792,768x = 3,037,965,336,576
  5. Step 5: Solve for x
    x = 3,037,965,336,576/792,768
  6. Step 6: Final answer
    x = 3,832,098.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.