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Finding the Third Proportional to 713,693 and 1,025,827

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Solution

The third proportional to 713,693 and 1,025,827 is: 1,474,472.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,693 : 1,025,827 = 1,025,827 : x
  2. Step 2: Convert to fraction form
    713,693/1,025,827 = 1,025,827/x
  3. Step 3: Cross multiply
    713,693x = 1,025,827 × 1,025,827
  4. Step 4: Simplify right side
    713,693x = 1,052,321,033,929
  5. Step 5: Solve for x
    x = 1,052,321,033,929/713,693
  6. Step 6: Final answer
    x = 1,474,472.97

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.