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Finding the Third Proportional to 811,456 and 1,187,136

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Solution

The third proportional to 811,456 and 1,187,136 is: 1,736,744.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,456 : 1,187,136 = 1,187,136 : x
  2. Step 2: Convert to fraction form
    811,456/1,187,136 = 1,187,136/x
  3. Step 3: Cross multiply
    811,456x = 1,187,136 × 1,187,136
  4. Step 4: Simplify right side
    811,456x = 1,409,291,882,496
  5. Step 5: Solve for x
    x = 1,409,291,882,496/811,456
  6. Step 6: Final answer
    x = 1,736,744.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.