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Finding the Third Proportional to 1,206,963 and 2,513,136

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Solution

The third proportional to 1,206,963 and 2,513,136 is: 5,232,846.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,963 : 2,513,136 = 2,513,136 : x
  2. Step 2: Convert to fraction form
    1,206,963/2,513,136 = 2,513,136/x
  3. Step 3: Cross multiply
    1,206,963x = 2,513,136 × 2,513,136
  4. Step 4: Simplify right side
    1,206,963x = 6,315,852,554,496
  5. Step 5: Solve for x
    x = 6,315,852,554,496/1,206,963
  6. Step 6: Final answer
    x = 5,232,846.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.