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Finding the Third Proportional to 978,654 and 2,149,764

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Solution

The third proportional to 978,654 and 2,149,764 is: 4,722,287.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,654 : 2,149,764 = 2,149,764 : x
  2. Step 2: Convert to fraction form
    978,654/2,149,764 = 2,149,764/x
  3. Step 3: Cross multiply
    978,654x = 2,149,764 × 2,149,764
  4. Step 4: Simplify right side
    978,654x = 4,621,485,255,696
  5. Step 5: Solve for x
    x = 4,621,485,255,696/978,654
  6. Step 6: Final answer
    x = 4,722,287.20

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.