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Finding the Third Proportional to 703,984 and 1,440,772

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Solution

The third proportional to 703,984 and 1,440,772 is: 2,948,680.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,984 : 1,440,772 = 1,440,772 : x
  2. Step 2: Convert to fraction form
    703,984/1,440,772 = 1,440,772/x
  3. Step 3: Cross multiply
    703,984x = 1,440,772 × 1,440,772
  4. Step 4: Simplify right side
    703,984x = 2,075,823,955,984
  5. Step 5: Solve for x
    x = 2,075,823,955,984/703,984
  6. Step 6: Final answer
    x = 2,948,680.59

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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.