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Finding the Third Proportional to 819,618 and 1,679,700

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Solution

The third proportional to 819,618 and 1,679,700 is: 3,442,325.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,618 : 1,679,700 = 1,679,700 : x
  2. Step 2: Convert to fraction form
    819,618/1,679,700 = 1,679,700/x
  3. Step 3: Cross multiply
    819,618x = 1,679,700 × 1,679,700
  4. Step 4: Simplify right side
    819,618x = 2,821,392,090,000
  5. Step 5: Solve for x
    x = 2,821,392,090,000/819,618
  6. Step 6: Final answer
    x = 3,442,325.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.