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Finding the Third Proportional to 768,418 and 1,686,304

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Solution

The third proportional to 768,418 and 1,686,304 is: 3,700,617.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,418 : 1,686,304 = 1,686,304 : x
  2. Step 2: Convert to fraction form
    768,418/1,686,304 = 1,686,304/x
  3. Step 3: Cross multiply
    768,418x = 1,686,304 × 1,686,304
  4. Step 4: Simplify right side
    768,418x = 2,843,621,180,416
  5. Step 5: Solve for x
    x = 2,843,621,180,416/768,418
  6. Step 6: Final answer
    x = 3,700,617.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.