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Finding the Third Proportional to 703,980 and 1,440,764

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Solution

The third proportional to 703,980 and 1,440,764 is: 2,948,664.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,980 : 1,440,764 = 1,440,764 : x
  2. Step 2: Convert to fraction form
    703,980/1,440,764 = 1,440,764/x
  3. Step 3: Cross multiply
    703,980x = 1,440,764 × 1,440,764
  4. Step 4: Simplify right side
    703,980x = 2,075,800,903,696
  5. Step 5: Solve for x
    x = 2,075,800,903,696/703,980
  6. Step 6: Final answer
    x = 2,948,664.60

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.