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Finding the Third Proportional to 911,136 and 1,389,168

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Solution

The third proportional to 911,136 and 1,389,168 is: 2,118,001.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,136 : 1,389,168 = 1,389,168 : x
  2. Step 2: Convert to fraction form
    911,136/1,389,168 = 1,389,168/x
  3. Step 3: Cross multiply
    911,136x = 1,389,168 × 1,389,168
  4. Step 4: Simplify right side
    911,136x = 1,929,787,732,224
  5. Step 5: Solve for x
    x = 1,929,787,732,224/911,136
  6. Step 6: Final answer
    x = 2,118,001.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.