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Finding the Third Proportional to 1,011,210 and 2,162,388

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Solution

The third proportional to 1,011,210 and 2,162,388 is: 4,624,085.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011,210 : 2,162,388 = 2,162,388 : x
  2. Step 2: Convert to fraction form
    1,011,210/2,162,388 = 2,162,388/x
  3. Step 3: Cross multiply
    1,011,210x = 2,162,388 × 2,162,388
  4. Step 4: Simplify right side
    1,011,210x = 4,675,921,862,544
  5. Step 5: Solve for x
    x = 4,675,921,862,544/1,011,210
  6. Step 6: Final answer
    x = 4,624,085.86

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