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Finding the Third Proportional to 716,560 and 1,071,096

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Solution

The third proportional to 716,560 and 1,071,096 is: 1,601,047.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,560 : 1,071,096 = 1,071,096 : x
  2. Step 2: Convert to fraction form
    716,560/1,071,096 = 1,071,096/x
  3. Step 3: Cross multiply
    716,560x = 1,071,096 × 1,071,096
  4. Step 4: Simplify right side
    716,560x = 1,147,246,641,216
  5. Step 5: Solve for x
    x = 1,147,246,641,216/716,560
  6. Step 6: Final answer
    x = 1,601,047.56

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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.