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Finding the Third Proportional to 405,120 and 883,136

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Solution

The third proportional to 405,120 and 883,136 is: 1,925,180.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,120 : 883,136 = 883,136 : x
  2. Step 2: Convert to fraction form
    405,120/883,136 = 883,136/x
  3. Step 3: Cross multiply
    405,120x = 883,136 × 883,136
  4. Step 4: Simplify right side
    405,120x = 779,929,194,496
  5. Step 5: Solve for x
    x = 779,929,194,496/405,120
  6. Step 6: Final answer
    x = 1,925,180.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.