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Finding the Third Proportional to 2,162,000 and 4,590,682

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Solution

The third proportional to 2,162,000 and 4,590,682 is: 9,747,623.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162,000 : 4,590,682 = 4,590,682 : x
  2. Step 2: Convert to fraction form
    2,162,000/4,590,682 = 4,590,682/x
  3. Step 3: Cross multiply
    2,162,000x = 4,590,682 × 4,590,682
  4. Step 4: Simplify right side
    2,162,000x = 21,074,361,225,124
  5. Step 5: Solve for x
    x = 21,074,361,225,124/2,162,000
  6. Step 6: Final answer
    x = 9,747,623.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.