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Finding the Third Proportional to 646,676 and 1,360,344

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Solution

The third proportional to 646,676 and 1,360,344 is: 2,861,611.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,676 : 1,360,344 = 1,360,344 : x
  2. Step 2: Convert to fraction form
    646,676/1,360,344 = 1,360,344/x
  3. Step 3: Cross multiply
    646,676x = 1,360,344 × 1,360,344
  4. Step 4: Simplify right side
    646,676x = 1,850,535,798,336
  5. Step 5: Solve for x
    x = 1,850,535,798,336/646,676
  6. Step 6: Final answer
    x = 2,861,611.99

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.