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Finding the Third Proportional to 1,136,448 and 2,312,064

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Solution

The third proportional to 1,136,448 and 2,312,064 is: 4,703,813.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136,448 : 2,312,064 = 2,312,064 : x
  2. Step 2: Convert to fraction form
    1,136,448/2,312,064 = 2,312,064/x
  3. Step 3: Cross multiply
    1,136,448x = 2,312,064 × 2,312,064
  4. Step 4: Simplify right side
    1,136,448x = 5,345,639,940,096
  5. Step 5: Solve for x
    x = 5,345,639,940,096/1,136,448
  6. Step 6: Final answer
    x = 4,703,813.94

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.