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Finding the Third Proportional to 716,096 and 1,560,010

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Solution

The third proportional to 716,096 and 1,560,010 is: 3,398,470.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,096 : 1,560,010 = 1,560,010 : x
  2. Step 2: Convert to fraction form
    716,096/1,560,010 = 1,560,010/x
  3. Step 3: Cross multiply
    716,096x = 1,560,010 × 1,560,010
  4. Step 4: Simplify right side
    716,096x = 2,433,631,200,100
  5. Step 5: Solve for x
    x = 2,433,631,200,100/716,096
  6. Step 6: Final answer
    x = 3,398,470.60

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.