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Finding the Third Proportional to 1,664,144 and 3,593,461

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Solution

The third proportional to 1,664,144 and 3,593,461 is: 7,759,521.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664,144 : 3,593,461 = 3,593,461 : x
  2. Step 2: Convert to fraction form
    1,664,144/3,593,461 = 3,593,461/x
  3. Step 3: Cross multiply
    1,664,144x = 3,593,461 × 3,593,461
  4. Step 4: Simplify right side
    1,664,144x = 12,912,961,958,521
  5. Step 5: Solve for x
    x = 12,912,961,958,521/1,664,144
  6. Step 6: Final answer
    x = 7,759,521.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.