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Finding the Third Proportional to 768,692 and 1,637,176

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Solution

The third proportional to 768,692 and 1,637,176 is: 3,486,891.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,692 : 1,637,176 = 1,637,176 : x
  2. Step 2: Convert to fraction form
    768,692/1,637,176 = 1,637,176/x
  3. Step 3: Cross multiply
    768,692x = 1,637,176 × 1,637,176
  4. Step 4: Simplify right side
    768,692x = 2,680,345,254,976
  5. Step 5: Solve for x
    x = 2,680,345,254,976/768,692
  6. Step 6: Final answer
    x = 3,486,891.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.