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Finding the Third Proportional to 620,136 and 1,339,416

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Solution

The third proportional to 620,136 and 1,339,416 is: 2,892,970.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,136 : 1,339,416 = 1,339,416 : x
  2. Step 2: Convert to fraction form
    620,136/1,339,416 = 1,339,416/x
  3. Step 3: Cross multiply
    620,136x = 1,339,416 × 1,339,416
  4. Step 4: Simplify right side
    620,136x = 1,794,035,221,056
  5. Step 5: Solve for x
    x = 1,794,035,221,056/620,136
  6. Step 6: Final answer
    x = 2,892,970.61

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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.