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Finding the Third Proportional to 1,769,744 and 3,771,136

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Solution

The third proportional to 1,769,744 and 3,771,136 is: 8,035,889.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769,744 : 3,771,136 = 3,771,136 : x
  2. Step 2: Convert to fraction form
    1,769,744/3,771,136 = 3,771,136/x
  3. Step 3: Cross multiply
    1,769,744x = 3,771,136 × 3,771,136
  4. Step 4: Simplify right side
    1,769,744x = 14,221,466,730,496
  5. Step 5: Solve for x
    x = 14,221,466,730,496/1,769,744
  6. Step 6: Final answer
    x = 8,035,889.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.