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Finding the Third Proportional to 1,586,304 and 3,487,536

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Solution

The third proportional to 1,586,304 and 3,487,536 is: 7,667,450.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,304 : 3,487,536 = 3,487,536 : x
  2. Step 2: Convert to fraction form
    1,586,304/3,487,536 = 3,487,536/x
  3. Step 3: Cross multiply
    1,586,304x = 3,487,536 × 3,487,536
  4. Step 4: Simplify right side
    1,586,304x = 12,162,907,351,296
  5. Step 5: Solve for x
    x = 12,162,907,351,296/1,586,304
  6. Step 6: Final answer
    x = 7,667,450.47

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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.