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Finding the Third Proportional to 1,011,214 and 2,162,396

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Solution

The third proportional to 1,011,214 and 2,162,396 is: 4,624,101.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011,214 : 2,162,396 = 2,162,396 : x
  2. Step 2: Convert to fraction form
    1,011,214/2,162,396 = 2,162,396/x
  3. Step 3: Cross multiply
    1,011,214x = 2,162,396 × 2,162,396
  4. Step 4: Simplify right side
    1,011,214x = 4,675,956,460,816
  5. Step 5: Solve for x
    x = 4,675,956,460,816/1,011,214
  6. Step 6: Final answer
    x = 4,624,101.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.