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Finding the Third Proportional to 1,031,823 and 2,136,546

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Solution

The third proportional to 1,031,823 and 2,136,546 is: 4,424,042.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031,823 : 2,136,546 = 2,136,546 : x
  2. Step 2: Convert to fraction form
    1,031,823/2,136,546 = 2,136,546/x
  3. Step 3: Cross multiply
    1,031,823x = 2,136,546 × 2,136,546
  4. Step 4: Simplify right side
    1,031,823x = 4,564,828,810,116
  5. Step 5: Solve for x
    x = 4,564,828,810,116/1,031,823
  6. Step 6: Final answer
    x = 4,424,042.51

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.