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Finding the Third Proportional to 716,576 and 1,071,120

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Solution

The third proportional to 716,576 and 1,071,120 is: 1,601,083.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,576 : 1,071,120 = 1,071,120 : x
  2. Step 2: Convert to fraction form
    716,576/1,071,120 = 1,071,120/x
  3. Step 3: Cross multiply
    716,576x = 1,071,120 × 1,071,120
  4. Step 4: Simplify right side
    716,576x = 1,147,298,054,400
  5. Step 5: Solve for x
    x = 1,147,298,054,400/716,576
  6. Step 6: Final answer
    x = 1,601,083.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.