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Finding the Third Proportional to 523,136 and 1,129,200

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Solution

The third proportional to 523,136 and 1,129,200 is: 2,437,401.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,136 : 1,129,200 = 1,129,200 : x
  2. Step 2: Convert to fraction form
    523,136/1,129,200 = 1,129,200/x
  3. Step 3: Cross multiply
    523,136x = 1,129,200 × 1,129,200
  4. Step 4: Simplify right side
    523,136x = 1,275,092,640,000
  5. Step 5: Solve for x
    x = 1,275,092,640,000/523,136
  6. Step 6: Final answer
    x = 2,437,401.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.