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Finding the Third Proportional to 1,474,970 and 3,209,510

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Solution

The third proportional to 1,474,970 and 3,209,510 is: 6,983,839.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474,970 : 3,209,510 = 3,209,510 : x
  2. Step 2: Convert to fraction form
    1,474,970/3,209,510 = 3,209,510/x
  3. Step 3: Cross multiply
    1,474,970x = 3,209,510 × 3,209,510
  4. Step 4: Simplify right side
    1,474,970x = 10,300,954,440,100
  5. Step 5: Solve for x
    x = 10,300,954,440,100/1,474,970
  6. Step 6: Final answer
    x = 6,983,839.97

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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.