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Finding the Third Proportional to 768,206 and 1,650,136

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Solution

The third proportional to 768,206 and 1,650,136 is: 3,544,555.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,206 : 1,650,136 = 1,650,136 : x
  2. Step 2: Convert to fraction form
    768,206/1,650,136 = 1,650,136/x
  3. Step 3: Cross multiply
    768,206x = 1,650,136 × 1,650,136
  4. Step 4: Simplify right side
    768,206x = 2,722,948,818,496
  5. Step 5: Solve for x
    x = 2,722,948,818,496/768,206
  6. Step 6: Final answer
    x = 3,544,555.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.